How do you find the GCF of 12 and 18?

Jan 16, 2017

LIst all of the factors of 12 and 18. Then find the unique factors and multiple them.

Explanation:

the factors of 12 are $2 \times 2 \times 3$ or ${2}^{2} \times 3$

the factors of 18 are $2 \times 3 \times 3$ or $2 \times {3}^{2}$

There are two 2's in 12 and one 2 in 18 so the GCF must have one 2's

There are two 3's in 18 and one 3 in 12 so the GCF must have one 3's

So the GCG is $2 \times 3$ =6