# How do you find the GCF of 40 and 100?

Feb 11, 2017

See the entire solution process below:

#### Explanation:

To find the GCF (Greatest Common Factor) we need to factor each number separately and then find the all the common factors:

$40 = 2 \times 2 \times 2 \times 5$

$100 = 2 \times 2 \times 5 \times 5$

The common factors are:

$40 = \textcolor{red}{2 \times 2} \times 2 \times \textcolor{red}{5}$

$100 = \textcolor{red}{2 \times 2} \times \textcolor{red}{5} \times 5$

Or

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

The GCF is $20$