# How do you find the GCF for the following list 80, 36?

Oct 21, 2016

The GCF of $80$ and $36$ is $4$

#### Explanation:

One method for finding the GCF of two numbers goes as follows:

• Divide the larger number by the smaller to give a quotient and remainder.

• If the remainder is $0$ then the smaller number is the GCF.

• Otherwise, repeat with the smaller number and the remainder.

In our example we find:

$\frac{80}{36} = 2 \text{ }$ with remainder $8$

$\frac{36}{8} = 4 \text{ }$ with remainder $4$

$\frac{8}{4} = 2 \text{ }$ with remainder $0$

So the GCF of $80$ and $36$ is $4$