Find the GCF 25 , 35

$25$ , $35$

Step 1

Find the common factors for the numerical part:

$25, 35$

Step 2

The factors for $25$ are $1, 5, 25$ .

The factors for $25$ are all numbers between $1$ and $25$ , which divide $25$ evenly.

Check numbers between $1$ and $25$

Find the factor pairs of $25$ where $x \cdot y = 25$ .

$\begin{array}{c} x & y \\ 1 & 25 \\ 5 & 5 \end{array}$

List the factors for $25$ .

$1, 5, 25$

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 $25, 35$ to find the common factors.

$25$ : $1, 5, 25$

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

Step 5

The common factors for $25, 35$ are $1, 5$ .

$1, 5$

Step 6

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

$5$