Find the GCF 6 , 8 , 14

$6$ , $8$ , $14$

Find the common factors for the numerical part:

$6, 8, 14$

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 $6$ .

$1, 2, 3, 6$

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 $8$ .

$1, 2, 4, 8$

The factors for $14$ are $1, 2, 7, 14$ .

The factors for $14$ are all numbers between $1$ and $14$ , which divide $14$ evenly.

Check numbers between $1$ and $14$

Find the factor pairs of $14$ where $x \cdot y = 14$ .

$\begin{array}{c} x & y \\ 1 & 14 \\ 2 & 7 \end{array}$

List the factors for $14$ .

$1, 2, 7, 14$

List all the factors for $6, 8, 14$ to find the common factors.

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

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

$14$ : $1, 2, 7, 14$

The common factors for $6, 8, 14$ are $1, 2$ .

$1, 2$

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

$2$