Pre-Algebra Examples

$26$ , $220$

Step 1

Find the common factors for the numerical part:

$26, 220$

Step 2

The factors for $26$ are $1, 2, 13, 26$ .

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Step 2.1

The factors for $26$ are all numbers between $1$ and $26$ , which divide $26$ evenly.

Check numbers between $1$ and $26$

Step 2.2

Find the factor pairs of $26$ where $x \cdot y = 26$ .

$\begin{array}{c} x & y \\ 1 & 26 \\ 2 & 13 \end{array}$

Step 2.3

List the factors for $26$ .

$1, 2, 13, 26$

Step 3

The factors for $220$ are $1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220$ .

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Step 3.1

The factors for $220$ are all numbers between $1$ and $220$ , which divide $220$ evenly.

Check numbers between $1$ and $220$

Step 3.2

Find the factor pairs of $220$ where $x \cdot y = 220$ .

$\begin{array}{c} x & y \\ 1 & 220 \\ 2 & 110 \\ 4 & 55 \\ 5 & 44 \\ 10 & 22 \\ 11 & 20 \end{array}$

Step 3.3

List the factors for $220$ .

$1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220$

Step 4

List all the factors for $26, 220$ to find the common factors.

$26$ : $1, 2, 13, 26$

$220$ : $1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220$

Step 5

The common factors for $26, 220$ are $1, 2$ .

$1, 2$

Step 6

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

$2$