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what is the GCF of 8 and 12?

 Oct 7, 2017
 #1
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The greatest common factor (GCF) is 4

 

There are two methods to approach this problem. 

 

1. Listing

 

You list all the factors of 8 and all the factors of 12 and then you find the greatest common factpr.

 

8) 1 , 2 , 4 , 8

12) 1 , 2 , 3 , 4 , 6 , 12

 

2. Prime factorization 

 

First you factorize both numbers...

 

8) 2 * 2 * 2

12) 2 * 2 * 3

 

You take numbers that occur in both lists, which is 2 2's and you multiply them together. 2 * 2 is four. The answer is same both ways. The first method is easier in this case, but with bigger numbers, the second method will be eaiser. 

 Oct 8, 2017

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