Find the GCF 32 , 12

$32$ , $12$

Find the common factors for the numerical part:

$32, 12$

The factors for $32$ are $1, 2, 4, 8, 16, 32$ .

The factors for $32$ are all numbers between $1$ and $32$ , which divide $32$ evenly.

Check numbers between $1$ and $32$

Find the factor pairs of $32$ where $x \cdot y = 32$ .

$\begin{array}{c} x & y \\ 1 & 32 \\ 2 & 16 \\ 4 & 8 \end{array}$

List the factors for $32$ .

$1, 2, 4, 8, 16, 32$

The factors for $12$ are $1, 2, 3, 4, 6, 12$ .

The factors for $12$ are all numbers between $1$ and $12$ , which divide $12$ evenly.

Check numbers between $1$ and $12$

Find the factor pairs of $12$ where $x \cdot y = 12$ .

$\begin{array}{c} x & y \\ 1 & 12 \\ 2 & 6 \\ 3 & 4 \end{array}$

List the factors for $12$ .

$1, 2, 3, 4, 6, 12$

List all the factors for $32, 12$ to find the common factors.

$32$ : $1, 2, 4, 8, 16, 32$

$12$ : $1, 2, 3, 4, 6, 12$

The common factors for $32, 12$ are $1, 2, 4$ .

$1, 2, 4$

The GCF (HCF) of the numerical factors $1, 2, 4$ is $4$ .

$4$