Examples

$20$ , $30$ , $40$

Step 1

To find the common factors of a list of numbers, find the factors of each number.

Step 2

Find the factors of $20$ .

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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

Find the factors of $30$ .

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Step 3.1

The factors for $30$ are all numbers between $1$ and $30$ , which divide $30$ evenly.

Check numbers between $1$ and $30$

Step 3.2

Find the factor pairs of $30$ where $x \cdot y = 30$ .

$\begin{array}{c} x & y \\ 1 & 30 \\ 2 & 15 \\ 3 & 10 \\ 5 & 6 \end{array}$

Step 3.3

List the factors for $30$ .

$1, 2, 3, 5, 6, 10, 15, 30$

Step 4

Find the factors of $40$ .

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Step 4.1

The factors for $40$ are all numbers between $1$ and $40$ , which divide $40$ evenly.

Check numbers between $1$ and $40$

Step 4.2

Find the factor pairs of $40$ where $x \cdot y = 40$ .

$\begin{array}{c} x & y \\ 1 & 40 \\ 2 & 20 \\ 4 & 10 \\ 5 & 8 \end{array}$

Step 4.3

List the factors for $40$ .

$1, 2, 4, 5, 8, 10, 20, 40$

Step 5

The common factors are the ones that appear in the list of factors of each number.

$1, 2, 5, 10$

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