Find the GCF 22 , 33

$22$ , $33$

Find the common factors for the numerical part:

$22, 33$

The factors for $22$ are $1, 2, 11, 22$ .

The factors for $22$ are all numbers between $1$ and $22$ , which divide $22$ evenly.

Check numbers between $1$ and $22$

Find the factor pairs of $22$ where $x \cdot y = 22$ .

$\begin{array}{c} x & y \\ 1 & 22 \\ 2 & 11 \end{array}$

List the factors for $22$ .

$1, 2, 11, 22$

The factors for $33$ are $1, 3, 11, 33$ .

The factors for $33$ are all numbers between $1$ and $33$ , which divide $33$ evenly.

Check numbers between $1$ and $33$

Find the factor pairs of $33$ where $x \cdot y = 33$ .

$\begin{array}{c} x & y \\ 1 & 33 \\ 3 & 11 \end{array}$

List the factors for $33$ .

$1, 3, 11, 33$

List all the factors for $22, 33$ to find the common factors.

$22$ : $1, 2, 11, 22$

$33$ : $1, 3, 11, 33$

The common factors for $22, 33$ are $1, 11$ .

$1, 11$

The GCF (HCF) of the numerical factors $1, 11$ is $11$ .

$11$