Find the GCF 8 , 30

$8$ , $30$

Step 1

Find the common factors for the numerical part:

$8, 30$

Step 2

The factors for $8$ are $1, 2, 4, 8$ .

The factors for $8$ are all numbers between $1$ and $8$ , which divide $8$ evenly.

Check numbers between $1$ and $8$

Find the factor pairs of $8$ where $x \cdot y = 8$ .

$\begin{array}{c} x & y \\ 1 & 8 \\ 2 & 4 \end{array}$

List the factors for $8$ .

$1, 2, 4, 8$

Step 3

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 $30$ .

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

Step 4

List all the factors for $8, 30$ to find the common factors.

$8$ : $1, 2, 4, 8$

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

Step 5

The common factors for $8, 30$ are $1, 2$ .

$1, 2$

Step 6

The GCF (HCF) of the numerical factors $1, 2$ is $2$ .

$2$