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What is the greatest common factor of 108 and 132?

1 Answer

Oct 15, 2016

Factorize both to their prime factors.

Explanation:

$108 = 2 \times 2 \times 3 \times 3 \times 3$ $108=2xx2xx3xx3xx3$
$132 = 2 \times 2 \times 3 \times 11$ $132=2xx2xx3xx11$

Take the factors occurring in both of them:
GCF $= 2 \times 2 \times 3 = 12$ $=2xx2xx3=12$

Check your answer:
$108 \div 12 = 9 = 3 \times 3$ $108div12=9=3xx3$
$132 \div 12 = 11$ $132div12=11$
And these two have no factors in common.

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