# What is the greatest common factor of 4, 12, and 24?

Nov 5, 2016

#### Answer:

The GCF is $4$.

#### Explanation:

The greatest common factor (GCF) is the biggest number that divides evenly into all three numbers.

Sometimes it helps to list the factors of each number.

Factors of $4$: $\textcolor{w h i t e}{a a a} 1 , \textcolor{red}{4}$

Factors of $12$: $\textcolor{w h i t e}{a a} 1 , 2 , 3 , \textcolor{red}{4} , 6 , 12$

Factors of $24$: $\textcolor{w h i t e}{a a} 1 , 2 , 3 , \textcolor{red}{4} , 6 , 8 , 12 , 24$

The greatest (biggest) factor that is common to (appears in all three lists of factors) of $4 , 12 \mathmr{and}$24 is $\textcolor{red}{4}$.