{"id":8986,"date":"2020-12-08T11:44:55","date_gmt":"2020-12-08T06:14:55","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=8986"},"modified":"2020-12-08T16:34:40","modified_gmt":"2020-12-08T11:04:40","slug":"common-factors","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/common-factors\/","title":{"rendered":"Common Factors"},"content":{"rendered":"<h2><span style=\"color: #00ccff;\"><strong>Common Factors<\/strong><\/span><\/h2>\n<p>When two integers are multiplied together, the answer is called a <strong>product.<\/strong><br \/>\nThe integers that were multiplied together are called the <strong>factors<\/strong> of the product.<br \/>\n<strong>3 \u2022 6 = 18<\/strong><br \/>\n<strong>(3 <\/strong>and<strong> 6 <\/strong>are factors of<strong> 18)<\/strong><\/p>\n<p>The <strong>greatest common factor<\/strong> of two (or more) integers is the largest integer that is a factor of both (or all) numbers.<\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-12746 aligncenter\" src=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/12\/common-factors-1.jpg\" alt=\"\" width=\"609\" height=\"704\" srcset=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/12\/common-factors-1.jpg 609w, https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/12\/common-factors-1-260x300.jpg 260w\" sizes=\"(max-width: 609px) 100vw, 609px\" \/><\/p>\n<p>Consider the numbers 18, 24, and 36.<br \/>\n<strong>The greatest common factor is 6.<\/strong><br \/>\n(6 is the largest integer that will divide evenly into all three numbers)<\/p>\n<p>The greatest common factor, (GCF), of two (or more) monomials is the product of the greatest common factor of the numerical coefficients (the numbers out in front) and the highest power of every variable that is a factor of each monomial.<\/p>\n<p><iframe loading=\"lazy\" title=\"Greatest Common Factor (GCF)\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/y4MG3m5uJQg?start=279&#038;feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/p>\n<p><strong>Example: <\/strong>Consider\u00a010x\u00b2y<sup>3<\/sup> and 15xy\u00b2<br \/>\nThe greatest common factor is 5xy\u00b2 .<br \/>\n<strong>The largest factor of 10 and 15 is 5.<\/strong><br \/>\nThe highest power of x that is contained in both terms is x.<br \/>\nThe highest power of y that is contained in both terms is y\u00b2 .<\/p>\n<p>When factoring polynomials, first look for the largest monomial which is a factor of each term of the polynomial. Factor out (divide each term by) this largest monomial.<\/p>\n<p><strong>Example 1:\u00a0<\/strong>Factor: 4x + 8y<br \/>\nThe largest integer that will divide evenly into 4 and 8 is 4. Since the terms do not contain a variable (x or y) in common, we cannot factor any variables.<br \/>\nThe greatest common factor is 4. Divide each term by 4.<br \/>\n<strong>Answer: 4(x + 2y)<\/strong><\/p>\n<p><strong>Example 2: <\/strong>Factor: 15x<sup>2<\/sup>y<sup>3<\/sup> + 10xy\u00b2<br \/>\nThe largest integer that will divide evenly into 15 and 10 is 5. The largest power of x present in both terms is x.<br \/>\nThe largest power of y present in both term is y\u00b2.<br \/>\nThe GCF is 5xy\u00b2. Divide each term by the GCF.<br \/>\n<strong>Answer: 5xy\u00b2(3xy + 2) <\/strong><\/p>\n<p><a class=\"button-red\" title=\"Maths\" href=\"https:\/\/cbselibrary.com\/maths\/\">Maths<\/a> <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Common Factors When two integers are multiplied together, the answer is called a product. The integers that were multiplied together are called the factors of the product. 3 \u2022 6 = 18 (3 and 6 are factors of 18) The greatest common factor of two (or more) integers is the largest integer that is a &#8230; <a title=\"Common Factors\" class=\"read-more\" href=\"https:\/\/cbselibrary.com\/common-factors\/\" aria-label=\"More on Common Factors\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[3285,55912,55948],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.8 (Yoast SEO v18.4.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Common Factors - CBSE Library<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cbselibrary.com\/common-factors\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Common Factors\" \/>\n<meta property=\"og:description\" content=\"Common Factors When two integers are multiplied together, the answer is called a product. The integers that were multiplied together are called the factors of the product. 3 \u2022 6 = 18 (3 and 6 are factors of 18) The greatest common factor of two (or more) integers is the largest integer that is a ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/cbselibrary.com\/common-factors\/\" \/>\n<meta property=\"og:site_name\" content=\"CBSE Library\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aplustopper\/\" \/>\n<meta property=\"article:published_time\" content=\"2020-12-08T06:14:55+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-12-08T11:04:40+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/12\/common-factors-1.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Veerendra\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Organization\",\"@id\":\"https:\/\/cbselibrary.com\/#organization\",\"name\":\"Aplus Topper\",\"url\":\"https:\/\/cbselibrary.com\/\",\"sameAs\":[\"https:\/\/www.facebook.com\/aplustopper\/\"],\"logo\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#logo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg\",\"width\":1585,\"height\":375,\"caption\":\"Aplus Topper\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/#logo\"}},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/cbselibrary.com\/#website\",\"url\":\"https:\/\/cbselibrary.com\/\",\"name\":\"CBSE Library\",\"description\":\"Improve your Grades\",\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/cbselibrary.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/common-factors\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/12\/common-factors-1.jpg\",\"contentUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/12\/common-factors-1.jpg\",\"width\":609,\"height\":704},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/cbselibrary.com\/common-factors\/#webpage\",\"url\":\"https:\/\/cbselibrary.com\/common-factors\/\",\"name\":\"Common Factors - CBSE Library\",\"isPartOf\":{\"@id\":\"https:\/\/cbselibrary.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/cbselibrary.com\/common-factors\/#primaryimage\"},\"datePublished\":\"2020-12-08T06:14:55+00:00\",\"dateModified\":\"2020-12-08T11:04:40+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/cbselibrary.com\/common-factors\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/cbselibrary.com\/common-factors\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/cbselibrary.com\/common-factors\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/cbselibrary.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Common Factors\"}]},{\"@type\":\"Article\",\"@id\":\"https:\/\/cbselibrary.com\/common-factors\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/cbselibrary.com\/common-factors\/#webpage\"},\"author\":{\"@id\":\"https:\/\/cbselibrary.com\/#\/schema\/person\/1363657f2432a17193a1f5d6404b8a0e\"},\"headline\":\"Common Factors\",\"datePublished\":\"2020-12-08T06:14:55+00:00\",\"dateModified\":\"2020-12-08T11:04:40+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/cbselibrary.com\/common-factors\/#webpage\"},\"wordCount\":296,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/cbselibrary.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/cbselibrary.com\/common-factors\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/12\/common-factors-1.jpg\",\"keywords\":[\"Common Factors\",\"Maths\",\"Pre Algebra\"],\"articleSection\":[\"Mathematics\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/cbselibrary.com\/common-factors\/#respond\"]}]},{\"@type\":\"Person\",\"@id\":\"https:\/\/cbselibrary.com\/#\/schema\/person\/1363657f2432a17193a1f5d6404b8a0e\",\"name\":\"Veerendra\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/cbselibrary.com\/#personlogo\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/93ba5dedf76e89af65ae2e1d6ac09855?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/93ba5dedf76e89af65ae2e1d6ac09855?s=96&d=mm&r=g\",\"caption\":\"Veerendra\"},\"url\":\"https:\/\/cbselibrary.com\/author\/veerendra\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Common Factors - CBSE Library","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/cbselibrary.com\/common-factors\/","og_locale":"en_US","og_type":"article","og_title":"Common Factors","og_description":"Common Factors When two integers are multiplied together, the answer is called a product. The integers that were multiplied together are called the factors of the product. 3 \u2022 6 = 18 (3 and 6 are factors of 18) The greatest common factor of two (or more) integers is the largest integer that is a ... Read more","og_url":"https:\/\/cbselibrary.com\/common-factors\/","og_site_name":"CBSE Library","article_publisher":"https:\/\/www.facebook.com\/aplustopper\/","article_published_time":"2020-12-08T06:14:55+00:00","article_modified_time":"2020-12-08T11:04:40+00:00","og_image":[{"url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/12\/common-factors-1.jpg"}],"twitter_card":"summary","twitter_misc":{"Written by":"Veerendra","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/cbselibrary.com\/#organization","name":"Aplus Topper","url":"https:\/\/cbselibrary.com\/","sameAs":["https:\/\/www.facebook.com\/aplustopper\/"],"logo":{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/#logo","inLanguage":"en-US","url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","contentUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2018\/12\/Aplus_380x90-logo.jpg","width":1585,"height":375,"caption":"Aplus Topper"},"image":{"@id":"https:\/\/cbselibrary.com\/#logo"}},{"@type":"WebSite","@id":"https:\/\/cbselibrary.com\/#website","url":"https:\/\/cbselibrary.com\/","name":"CBSE Library","description":"Improve your Grades","publisher":{"@id":"https:\/\/cbselibrary.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/cbselibrary.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/common-factors\/#primaryimage","inLanguage":"en-US","url":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/12\/common-factors-1.jpg","contentUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/12\/common-factors-1.jpg","width":609,"height":704},{"@type":"WebPage","@id":"https:\/\/cbselibrary.com\/common-factors\/#webpage","url":"https:\/\/cbselibrary.com\/common-factors\/","name":"Common Factors - CBSE Library","isPartOf":{"@id":"https:\/\/cbselibrary.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/cbselibrary.com\/common-factors\/#primaryimage"},"datePublished":"2020-12-08T06:14:55+00:00","dateModified":"2020-12-08T11:04:40+00:00","breadcrumb":{"@id":"https:\/\/cbselibrary.com\/common-factors\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/cbselibrary.com\/common-factors\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/cbselibrary.com\/common-factors\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/cbselibrary.com\/"},{"@type":"ListItem","position":2,"name":"Common Factors"}]},{"@type":"Article","@id":"https:\/\/cbselibrary.com\/common-factors\/#article","isPartOf":{"@id":"https:\/\/cbselibrary.com\/common-factors\/#webpage"},"author":{"@id":"https:\/\/cbselibrary.com\/#\/schema\/person\/1363657f2432a17193a1f5d6404b8a0e"},"headline":"Common Factors","datePublished":"2020-12-08T06:14:55+00:00","dateModified":"2020-12-08T11:04:40+00:00","mainEntityOfPage":{"@id":"https:\/\/cbselibrary.com\/common-factors\/#webpage"},"wordCount":296,"commentCount":0,"publisher":{"@id":"https:\/\/cbselibrary.com\/#organization"},"image":{"@id":"https:\/\/cbselibrary.com\/common-factors\/#primaryimage"},"thumbnailUrl":"https:\/\/cbselibrary.com\/wp-content\/uploads\/2016\/12\/common-factors-1.jpg","keywords":["Common Factors","Maths","Pre Algebra"],"articleSection":["Mathematics"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/cbselibrary.com\/common-factors\/#respond"]}]},{"@type":"Person","@id":"https:\/\/cbselibrary.com\/#\/schema\/person\/1363657f2432a17193a1f5d6404b8a0e","name":"Veerendra","image":{"@type":"ImageObject","@id":"https:\/\/cbselibrary.com\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/93ba5dedf76e89af65ae2e1d6ac09855?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/93ba5dedf76e89af65ae2e1d6ac09855?s=96&d=mm&r=g","caption":"Veerendra"},"url":"https:\/\/cbselibrary.com\/author\/veerendra\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/8986"}],"collection":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/comments?post=8986"}],"version-history":[{"count":0,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/posts\/8986\/revisions"}],"wp:attachment":[{"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/media?parent=8986"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/categories?post=8986"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cbselibrary.com\/wp-json\/wp\/v2\/tags?post=8986"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}