# How do you find the GCF of 10a, 20a^2, 25a?

Feb 13, 2017

See the entire solution process below:

#### Explanation:

To find the GCF of the three terms we need to first factor each of the terms separately:

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

$20 a = 2 \times 2 \times 5 \times a \times a$

$25 a = 5 \times 5 \times a$

The common terms are:

$10 a = 2 \times \textcolor{red}{5} \times \textcolor{red}{a}$

$20 a = 2 \times 2 \times \textcolor{red}{5} \times \textcolor{red}{a} \times a$

$25 a = 5 \times \textcolor{red}{5} \times \textcolor{red}{a}$

Therefore, the GCF is $5 a$