Find the GCF 14 , 55

$14$ , $55$

Step 1

Find the common factors for the numerical part:

$14, 55$

Step 2

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 $14$ .

$1, 2, 7, 14$

Step 3

The factors for $55$ are $1, 5, 11, 55$ .

The factors for $55$ are all numbers between $1$ and $55$ , which divide $55$ evenly.

Check numbers between $1$ and $55$

Find the factor pairs of $55$ where $x \cdot y = 55$ .

$\begin{array}{c} x & y \\ 1 & 55 \\ 5 & 11 \end{array}$

List the factors for $55$ .

$1, 5, 11, 55$

Step 4

List all the factors for $14, 55$ to find the common factors.

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

$55$ : $1, 5, 11, 55$

Step 5

The common factors for $14, 55$ are $1$ .

$1$

Step 6

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

$1$