# How do you find the GCF of 6, 15, 24?

Jan 20, 2017

The GCF for $6 , 15 , 24$ is $\textcolor{red}{3}$.

#### Explanation:

In order to find the greatest common factor (GCF), list the prime factorization for each number. The factors that all numbers have in common are multiplied by each other, unless there is only one common factor.

$6 :$$2 \times \textcolor{red}{3}$

$15 :$$\textcolor{red}{3} \times 5$

$24 :$$2 \times 2 \times 2 \times \textcolor{red}{3}$

$3$ is the only factor in common, so it is the GCF for $6 , 15 , 24$.