Find the GCF 35 , 21

$35$ , $21$

Step 1

Find the common factors for the numerical part:

$35, 21$

Step 2

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 3

The factors for $21$ are $1, 3, 7, 21$ .

The factors for $21$ are all numbers between $1$ and $21$ , which divide $21$ evenly.

Check numbers between $1$ and $21$

Find the factor pairs of $21$ where $x \cdot y = 21$ .

$\begin{array}{c} x & y \\ 1 & 21 \\ 3 & 7 \end{array}$

List the factors for $21$ .

$1, 3, 7, 21$

Step 4

List all the factors for $35, 21$ to find the common factors.

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

$21$ : $1, 3, 7, 21$

Step 5

The common factors for $35, 21$ are $1, 7$ .

$1, 7$

Step 6

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

$7$