Find the GCF 6 , 16

$6$ , $16$

Step 1

Find the common factors for the numerical part:

$6, 16$

Step 2

The factors for $6$ are $1, 2, 3, 6$ .

The factors for $6$ are all numbers between $1$ and $6$ , which divide $6$ evenly.

Check numbers between $1$ and $6$

Find the factor pairs of $6$ where $x \cdot y = 6$ .

$\begin{array}{c} x & y \\ 1 & 6 \\ 2 & 3 \end{array}$

List the factors for $6$ .

$1, 2, 3, 6$

Step 3

The factors for $16$ are $1, 2, 4, 8, 16$ .

The factors for $16$ are all numbers between $1$ and $16$ , which divide $16$ evenly.

Check numbers between $1$ and $16$

Find the factor pairs of $16$ where $x \cdot y = 16$ .

$\begin{array}{c} x & y \\ 1 & 16 \\ 2 & 8 \\ 4 & 4 \end{array}$

List the factors for $16$ .

$1, 2, 4, 8, 16$

Step 4

List all the factors for $6, 16$ to find the common factors.

$6$ : $1, 2, 3, 6$

$16$ : $1, 2, 4, 8, 16$

Step 5

The common factors for $6, 16$ are $1, 2$ .

$1, 2$

Step 6

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

$2$