# How do you find the highest common factors for 6 and 12?

Mar 5, 2018

highest or greatest common factor: $6$

#### Explanation:

Given: Find the highest common factor for $6$ and $12$

The highest common factor is called the greatest common factor (GCF).

First list the factors of each number:

$6 : 1 \times 6 , 2 \times 3$; Factors of $6$ are $1 , 2 , 3 , \textcolor{red}{6}$

$12 : 1 \times 12 , 2 \times 6 , 3 \times 4$; Factors of $12$ are:$1 , 2 , 3 , 4 , \textcolor{red}{6} , 12$

The GCF is the factor is the factor that is the largest factor common to both: $6$