Find the GCF 33 , 77

$33$ , $77$

Find the common factors for the numerical part:

$33, 77$

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 $33$ .

$1, 3, 11, 33$

The factors for $77$ are $1, 7, 11, 77$ .

The factors for $77$ are all numbers between $1$ and $77$ , which divide $77$ evenly.

Check numbers between $1$ and $77$

Find the factor pairs of $77$ where $x \cdot y = 77$ .

$\begin{array}{c} x & y \\ 1 & 77 \\ 7 & 11 \end{array}$

List the factors for $77$ .

$1, 7, 11, 77$

List all the factors for $33, 77$ to find the common factors.

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

$77$ : $1, 7, 11, 77$

The common factors for $33, 77$ are $1, 11$ .

$1, 11$

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

$11$