Find the GCF 63 , 195

$63$ , $195$

Step 1

Find the common factors for the numerical part:

$63, 195$

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 $195$ are $1, 3, 5, 13, 15, 39, 65, 195$ .

The factors for $195$ are all numbers between $1$ and $195$ , which divide $195$ evenly.

Check numbers between $1$ and $195$

Find the factor pairs of $195$ where $x \cdot y = 195$ .

$\begin{array}{c} x & y \\ 1 & 195 \\ 3 & 65 \\ 5 & 39 \\ 13 & 15 \end{array}$

List the factors for $195$ .

$1, 3, 5, 13, 15, 39, 65, 195$

Step 4

List all the factors for $63, 195$ to find the common factors.

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

$195$ : $1, 3, 5, 13, 15, 39, 65, 195$

Step 5

The common factors for $63, 195$ are $1, 3$ .

$1, 3$

Step 6

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

$3$