Find the GCF 35 , 30

$35$ , $30$

Find the common factors for the numerical part:

$35, 30$

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 $35$ .

$1, 5, 7, 35$

The factors for $30$ are $1, 2, 3, 5, 6, 10, 15, 30$ .

The factors for $30$ are all numbers between $1$ and $30$ , which divide $30$ evenly.

Check numbers between $1$ and $30$

Find the factor pairs of $30$ where $x \cdot y = 30$ .

$\begin{array}{c} x & y \\ 1 & 30 \\ 2 & 15 \\ 3 & 10 \\ 5 & 6 \end{array}$

List the factors for $30$ .

$1, 2, 3, 5, 6, 10, 15, 30$

List all the factors for $35, 30$ to find the common factors.

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

$30$ : $1, 2, 3, 5, 6, 10, 15, 30$

The common factors for $35, 30$ are $1, 5$ .

$1, 5$

The GCF (HCF) of the numerical factors $1, 5$ is $5$ .

$5$