Find the GCF 26 , 14

$26$ , $14$

Step 1

Find the common factors for the numerical part:

$26, 14$

Step 2

The factors for $26$ are $1, 2, 13, 26$ .

The factors for $26$ are all numbers between $1$ and $26$ , which divide $26$ evenly.

Check numbers between $1$ and $26$

Find the factor pairs of $26$ where $x \cdot y = 26$ .

$\begin{array}{c} x & y \\ 1 & 26 \\ 2 & 13 \end{array}$

List the factors for $26$ .

$1, 2, 13, 26$

Step 3

The factors for $14$ are $1, 2, 7, 14$ .

The factors for $14$ are all numbers between $1$ and $14$ , which divide $14$ evenly.

Check numbers between $1$ and $14$

Find the factor pairs of $14$ where $x \cdot y = 14$ .

$\begin{array}{c} x & y \\ 1 & 14 \\ 2 & 7 \end{array}$

List the factors for $14$ .

$1, 2, 7, 14$

Step 4

List all the factors for $26, 14$ to find the common factors.

$26$ : $1, 2, 13, 26$

$14$ : $1, 2, 7, 14$

Step 5

The common factors for $26, 14$ are $1, 2$ .

$1, 2$

Step 6

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

$2$