Find the GCF 35 , 99

$35$ , $99$

Step 1

Find the common factors for the numerical part:

$35, 99$

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 $99$ are $1, 3, 9, 11, 33, 99$ .

The factors for $99$ are all numbers between $1$ and $99$ , which divide $99$ evenly.

Check numbers between $1$ and $99$

Find the factor pairs of $99$ where $x \cdot y = 99$ .

$\begin{array}{c} x & y \\ 1 & 99 \\ 3 & 33 \\ 9 & 11 \end{array}$

List the factors for $99$ .

$1, 3, 9, 11, 33, 99$

Step 4

List all the factors for $35, 99$ to find the common factors.

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

$99$ : $1, 3, 9, 11, 33, 99$

Step 5

The common factors for $35, 99$ are $1$ .

$1$

Step 6

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

$1$