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How do you find the greatest common factor of 30, 12?

1 Answer

Mar 5, 2018

$G C F (12, 30) = 6$ $GCF(12,30)=6$

Explanation:

First, split each number into their factors.

$30 = 1, 2, 3, 5, 6, 10, 15, 30$ $30=1,2,3,5,6,10,15,30$
$12 = 1, 2, 3, 4, 6, 12$ $12=1,2,3,4,6,12$

Now we look for the greatest number appearing in both.

Both numbers have these factors:
$1, 2, 3, 6$ $1,2,3,6$

The greatest common factor will be the largest number in this list, which is $6$ $6$ .

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