{"id":253817,"date":"2025-07-12T07:30:23","date_gmt":"2025-07-12T07:30:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=253817"},"modified":"2025-07-12T07:30:25","modified_gmt":"2025-07-12T07:30:25","slug":"what-is-the-gcf-of-30-48-and-60","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/12\/what-is-the-gcf-of-30-48-and-60\/","title":{"rendered":"What is the Gcf of 30 48 and 60"},"content":{"rendered":"\n<p>What is the Gcf of 30 48 and 60<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The greatest common factor (GCF) of 30, 48, and 60 is <strong>6<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To find the GCF of multiple numbers, we follow these steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Prime Factorization:<\/strong><br>First, find the prime factorization of each number.\n<ul class=\"wp-block-list\">\n<li><strong>30<\/strong>:<br>30 can be broken down into prime factors as: 30=2\u00d73\u00d7530 = 2 \\times 3 \\times 5<\/li>\n\n\n\n<li><strong>48<\/strong>:<br>48 can be broken down into prime factors as: 48=24\u00d7348 = 2^4 \\times 3<\/li>\n\n\n\n<li><strong>60<\/strong>:<br>60 can be broken down into prime factors as: 60=22\u00d73\u00d7560 = 2^2 \\times 3 \\times 5<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Identify Common Factors:<\/strong><br>Now, identify the common prime factors among all three numbers.\n<ul class=\"wp-block-list\">\n<li>For 30, 48, and 60, the common prime factors are <strong>2<\/strong> and <strong>3<\/strong>.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Choose the Lowest Powers of Common Factors:<\/strong><br>The next step is to select the lowest powers of the common prime factors.\n<ul class=\"wp-block-list\">\n<li>For <strong>2<\/strong>, the lowest power is 212^1, which comes from 30.<\/li>\n\n\n\n<li>For <strong>3<\/strong>, the lowest power is 313^1, which is common in all three numbers.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Multiply the Common Factors:<\/strong><br>Multiply the lowest powers of the common factors to get the GCF. GCF=21\u00d731=2\u00d73=6GCF = 2^1 \\times 3^1 = 2 \\times 3 = 6<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion:<\/h3>\n\n\n\n<p>Therefore, the greatest common factor (GCF) of 30, 48, and 60 is 6, as it is the largest number that divides all three without leaving a remainder.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the Gcf of 30 48 and 60 The correct answer and explanation is: The greatest common factor (GCF) of 30, 48, and 60 is 6. Explanation: To find the GCF of multiple numbers, we follow these steps: Conclusion: Therefore, the greatest common factor (GCF) of 30, 48, and 60 is 6, as it [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-253817","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/253817","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=253817"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/253817\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=253817"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=253817"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=253817"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}