# How do you write the sum of the number 40+25 as the product of their GCF and another sum?

Mar 9, 2018

See a solution process below:

#### Explanation:

Find the prime factors for each number as:

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

$25 = 5 \times 5$

Now identify the common factors and determine the GCF:

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

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

Therefore:

$\text{GCF} = \textcolor{red}{5}$

Factoring out the GCF from each number gives:

$40 = 2 \times 2 \times 2 \times \cancel{\textcolor{red}{5}} = 8$

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

We can therefore rewrite this expression as:

$\textcolor{red}{5} \left(8 + 5\right)$