Find the GCF 14 , 35

$14$ , $35$

Step 1

Find the common factors for the numerical part:

$14, 35$

Step 2

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 3

The factors for $35$ are $1, 5, 7, 35$ .

The factors for $35$ are all numbers between $1$ and $35$ , which divide $35$ evenly.

Check numbers between $1$ and $35$

Find the factor pairs of $35$ where $x \cdot y = 35$ .

$\begin{array}{c} x & y \\ 1 & 35 \\ 5 & 7 \end{array}$

List the factors for $35$ .

$1, 5, 7, 35$

Step 4

List all the factors for $14, 35$ to find the common factors.

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

$35$ : $1, 5, 7, 35$

Step 5

The common factors for $14, 35$ are $1, 7$ .

$1, 7$

Step 6

The GCF (HCF) of the numerical factors $1, 7$ is $7$ .

$7$