Find the GCF 12 , 8

$12$ , $8$

Step 1

Find the common factors for the numerical part:

$12, 8$

Step 2

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 $12$ .

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

Step 3

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

The factors for $8$ are all numbers between $1$ and $8$ , which divide $8$ evenly.

Check numbers between $1$ and $8$

Find the factor pairs of $8$ where $x \cdot y = 8$ .

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

List the factors for $8$ .

$1, 2, 4, 8$

Step 4

List all the factors for $12, 8$ to find the common factors.

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

$8$ : $1, 2, 4, 8$

Step 5

The common factors for $12, 8$ are $1, 2, 4$ .

$1, 2, 4$

Step 6

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

$4$