# How do you find the GCF of 30a^2, 50ab^2?

Feb 8, 2017

Factor each monomial and multiply all the common factors together to find the Greatest Common Factor which is $10 a$

#### Explanation:

$30 {a}^{2}$ can be factored into $2 \times 3 \times 5 \times \text{ } a \times a$

$50 a {b}^{2}$ can be factored into $2 \text{ " xx 5 xx 5 xx a " } \times b \times b$

The common factors are $2 , 5 , \mathmr{and} a$ multiplying these factors together gives

$2 \times 5 \times a = 10 a$