Algebra Examples

$45$ , $90$

Step 1

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

Step 2

Find the factors of $45$ .

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Step 2.1

The factors for $45$ are all numbers between $1$ and $45$ , which divide $45$ evenly.

Check numbers between $1$ and $45$

Step 2.2

Find the factor pairs of $45$ where $x \cdot y = 45$ .

$\begin{array}{c} x & y \\ 1 & 45 \\ 3 & 15 \\ 5 & 9 \end{array}$

Step 2.3

List the factors for $45$ .

$1, 3, 5, 9, 15, 45$

Step 3

Find the factors of $90$ .

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Step 3.1

The factors for $90$ are all numbers between $1$ and $90$ , which divide $90$ evenly.

Check numbers between $1$ and $90$

Step 3.2

Find the factor pairs of $90$ where $x \cdot y = 90$ .

$\begin{array}{c} x & y \\ 1 & 90 \\ 2 & 45 \\ 3 & 30 \\ 5 & 18 \\ 6 & 15 \\ 9 & 10 \end{array}$

Step 3.3

List the factors for $90$ .

$1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90$

Step 4

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

$1, 3, 5, 9, 15, 45$

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