# How do you rewrite #35 + 20# using the GCF and a sum of two numbers?

##### 2 Answers

See a solution process below:

#### Explanation:

First, find the prime factors for each number as:

Now identify the common factors and determine the GCF:

Therefore:

We can now write the expression as:

#### Explanation:

What is the greatest common factor (GCF)?

That is the largest number that will divide into all those given.

To find it, the smallest prime numbers should be divided into each one. Prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19.

Looking at

So the GCF is

The Sum of

And the question states that

Subbing in values:

*another sum*

Factoring

*[ANS]*

To check: