Find the GCF 39 , 13

$39$ , $13$

Step 1

Find the common factors for the numerical part:

$39, 13$

Step 2

The factors for $39$ are $1, 3, 13, 39$ .

The factors for $39$ are all numbers between $1$ and $39$ , which divide $39$ evenly.

Check numbers between $1$ and $39$

Find the factor pairs of $39$ where $x \cdot y = 39$ .

$\begin{array}{c} x & y \\ 1 & 39 \\ 3 & 13 \end{array}$

List the factors for $39$ .

$1, 3, 13, 39$

Step 3

The factors for $13$ are $1, 13$ .

The factors for $13$ are all numbers between $1$ and $13$ , which divide $13$ evenly.

Check numbers between $1$ and $13$

Find the factor pairs of $13$ where $x \cdot y = 13$ .

$\begin{array}{c} x & y \\ 1 & 13 \end{array}$

List the factors for $13$ .

$1, 13$

Step 4

List all the factors for $39, 13$ to find the common factors.

$39$ : $1, 3, 13, 39$

$13$ : $1, 13$

Step 5

The common factors for $39, 13$ are $1, 13$ .

$1, 13$

Step 6

The GCF (HCF) of the numerical factors $1, 13$ is $13$ .

$13$