Find the GCF 44 , 33

$44$ , $33$

Step 1

Find the common factors for the numerical part:

$44, 33$

Step 2

The factors for $44$ are $1, 2, 4, 11, 22, 44$ .

The factors for $44$ are all numbers between $1$ and $44$ , which divide $44$ evenly.

Check numbers between $1$ and $44$

Find the factor pairs of $44$ where $x \cdot y = 44$ .

$\begin{array}{c} x & y \\ 1 & 44 \\ 2 & 22 \\ 4 & 11 \end{array}$

List the factors for $44$ .

$1, 2, 4, 11, 22, 44$

Step 3

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 $33$ .

$1, 3, 11, 33$

Step 4

List all the factors for $44, 33$ to find the common factors.

$44$ : $1, 2, 4, 11, 22, 44$

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

Step 5

The common factors for $44, 33$ are $1, 11$ .

$1, 11$

Step 6

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

$11$