Algebra Examples

$20$ ,

$440$

Step 1

Find the common factors for the numerical part:

$20, 440$

Step 2

The factors for

$20$ are

$1, 2, 4, 5, 10, 20$ .

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Step 2.1

The factors for

$20$ are all numbers between

$1$ and

$20$ , which divide

$20$ evenly.

Check numbers between

$1$ and

$20$

Step 2.2

Find the factor pairs of

$20$ where

$x \cdot y = 20$ .

$\begin{array}{c} x & y \\ 1 & 20 \\ 2 & 10 \\ 4 & 5 \end{array}$

Step 2.3

List the factors for

$20$ .

$1, 2, 4, 5, 10, 20$

Step 3

The factors for

$440$ are

$1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440$ .

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Step 3.1

The factors for

$440$ are all numbers between

$1$ and

$440$ , which divide

$440$ evenly.

Check numbers between

$1$ and

$440$

Step 3.2

Find the factor pairs of

$440$ where

$x \cdot y = 440$ .

$\begin{array}{c} x & y \\ 1 & 440 \\ 2 & 220 \\ 4 & 110 \\ 5 & 88 \\ 8 & 55 \\ 10 & 44 \\ 11 & 40 \\ 20 & 22 \end{array}$

Step 3.3

List the factors for

$440$ .

$1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440$

Step 4

List all the factors for

$20, 440$ to find the common factors.

$20$ :

$1, 2, 4, 5, 10, 20$

$440$ :

$1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440$

Step 5

The common factors for

$20, 440$ are

$1, 2, 4, 5, 10, 20$ .

$1, 2, 4, 5, 10, 20$

Step 6

The GCF (HCF) of the numerical factors

$1, 2, 4, 5, 10, 20$ is

$20$ .

$20$