# What is the GCF of 16a^2 and 30a^2?

Oct 1, 2015

$2 {a}^{2}$

#### Explanation:

You first factorize both expressions:
$16 {a}^{2} = 2 \cdot 2 \cdot 2 \cdot 2 \cdot a \cdot a$
$30 {a}^{2} = 2 \cdot 3 \cdot 5 \cdot a \cdot a$

If you take the common factors, you will see that the GCF will be:
$2 \cdot a \cdot a = 2 {a}^{2}$

Of course, in this case it could have been done faster, but the way I described the steps will work in all cases.