Find the GCF 14 42

$14$ $42$

Find the common factors for the numerical part:

$14, 42$

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 $14$ .

$1, 2, 7, 14$

The factors for $42$ are $1, 2, 3, 6, 7, 14, 21, 42$ .

The factors for $42$ are all numbers between $1$ and $42$ , which divide $42$ evenly.

Check numbers between $1$ and $42$

Find the factor pairs of $42$ where $x \cdot y = 42$ .

$\begin{array}{c} x & y \\ 1 & 42 \\ 2 & 21 \\ 3 & 14 \\ 6 & 7 \end{array}$

List the factors for $42$ .

$1, 2, 3, 6, 7, 14, 21, 42$

List all the factors for $14, 42$ to find the common factors.

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

$42$ : $1, 2, 3, 6, 7, 14, 21, 42$

The common factors for $14, 42$ are $1, 2, 7, 14$ .

$1, 2, 7, 14$

The GCF (HCF) of the numerical factors $1, 2, 7, 14$ is $14$ .

$14$