The Greatest Common Factor (also called the GCF, Greatest Common Divisor, or GCD) of two integers is a very similar concept! Image by Caroline Kulczycky Think about it. The GCF of two integers is the Greatest (largest) Common (shared) Factor (divisor). Let's take a look at one ...
Example: How can we simplify 1230 ?Earlier we found that the Common Factors of 12 and 30 are 1, 2, 3 and 6, and so the Greatest Common Factor is 6.So the largest number we can divide both 12 and 30 exactly by is 6, like this:...
Example: 2 x 9 = 18 2 and 9 are factors of 18. When we have two or more given numbers, we can find the largest factor that both numbers have in common. This is called the GCF or the Greatest Common Factor. There are several different methods that can be used to find the GCF....
• the largest of those common factors is the Greatest Common Factor. Abbreviated "GCF". Also called "Highest Common Factor" Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.See...
GreatestCommonFactor(GCF)FindingtheGCF:Method2–PrimeFactorization Example1:FindtheGCFof24and36.Step1:Findtheprimefactorizationofeachnumber.Step2:Findtheproductofthecommonprimefactors GreatestCommonFactor(GCF)FindingtheGCF:Method2–PrimeFactorization Example1:FindtheGCFof24and36.Step1:Findtheprimefactorization...
In the above example, the number of blocks in the sets that work are the factors of the number 6, that is, the number 6 can be expressed in terms of the sets that work: {eq}1\: block\times 6 {/eq}, {eq}2\: blocks\times 3 {/eq}, {eq}3\: blocks\times 2 {/eq}, and ...
Example 1: Factoring the Greatest Common Factor Factor6x3y3+45x2y2+21xy6x3y3+45x2y2+21xy. Solution First, find the GCF of the expression. The GCF of6,456,45, and2121is33. The GCF ofx3,x2x3,x2, andxxi...
How to Find the Greatest Common Factor (GCF) of 2 Numbers Biggest, largest, highest Greatest Common Same number Numbers that you multiply to get the product Factor Find the GCF of 12 and 24 12: 1, 2, 3, 4, 6, 12 24: 1,
The Greatest Common Factor is 4. Example 2) Find the greatest common factor of 47 and 86. Factors of 47: 1, 47 Factors of 86: 1, 2, 43, 86 In this case, the numbers have no common factor apart from 1. These numbers are said to becoprimeas their only common factor is 1. ...
The greatest common factor in the expressions below has a number AND a variable. Factor out the variable.The first two have been done for you.Example: Factoring out a variable and number2ax+2a2ax-4ay2a(x+1)2a(x-2y)-6ax + 4a 相关知识点: 试题来源: 解析 2a(-3x+2) 反馈 收藏...