Question

How do you find the GCF of 12 and 18?

Answer 1

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

Explanation:

the factors of 12 are `2 xx 2 xx 3` or `2^2 xx 3`

the factors of 18 are `2 xx 3 xx 3` or `2 xx 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 xx 3` =6