Find the GCF 66 , 12

$66$ , $12$

Step 1

Find the common factors for the numerical part:

$66, 12$

Step 2

The factors for $66$ are $1, 2, 3, 6, 11, 22, 33, 66$ .

The factors for $66$ are all numbers between $1$ and $66$ , which divide $66$ evenly.

Check numbers between $1$ and $66$

Find the factor pairs of $66$ where $x \cdot y = 66$ .

$\begin{array}{c} x & y \\ 1 & 66 \\ 2 & 33 \\ 3 & 22 \\ 6 & 11 \end{array}$

List the factors for $66$ .

$1, 2, 3, 6, 11, 22, 33, 66$

Step 3

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 4

List all the factors for $66, 12$ to find the common factors.

$66$ : $1, 2, 3, 6, 11, 22, 33, 66$

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

Step 5

The common factors for $66, 12$ are $1, 2, 3, 6$ .

$1, 2, 3, 6$

Step 6

The GCF (HCF) of the numerical factors $1, 2, 3, 6$ is $6$ .

$6$