Find the GCF 63 , 36

$63$ , $36$

Step 1

Find the common factors for the numerical part:

$63, 36$

Step 2

The factors for $63$ are $1, 3, 7, 9, 21, 63$ .

The factors for $63$ are all numbers between $1$ and $63$ , which divide $63$ evenly.

Check numbers between $1$ and $63$

Find the factor pairs of $63$ where $x \cdot y = 63$ .

$\begin{array}{c} x & y \\ 1 & 63 \\ 3 & 21 \\ 7 & 9 \end{array}$

List the factors for $63$ .

$1, 3, 7, 9, 21, 63$

Step 3

The factors for $36$ are $1, 2, 3, 4, 6, 9, 12, 18, 36$ .

The factors for $36$ are all numbers between $1$ and $36$ , which divide $36$ evenly.

Check numbers between $1$ and $36$

Find the factor pairs of $36$ where $x \cdot y = 36$ .

$\begin{array}{c} x & y \\ 1 & 36 \\ 2 & 18 \\ 3 & 12 \\ 4 & 9 \\ 6 & 6 \end{array}$

List the factors for $36$ .

$1, 2, 3, 4, 6, 9, 12, 18, 36$

Step 4

List all the factors for $63, 36$ to find the common factors.

$63$ : $1, 3, 7, 9, 21, 63$

$36$ : $1, 2, 3, 4, 6, 9, 12, 18, 36$

Step 5

The common factors for $63, 36$ are $1, 3, 9$ .

$1, 3, 9$

Step 6

The GCF (HCF) of the numerical factors $1, 3, 9$ is $9$ .

$9$