Common Factor Calculator

Enter the values separated by commas/spaces

Please provide your input and click the calculate button

About the Common Factor Calculator

The common factor calculator finds all the common factors for a set of numbers.

Usage Guide

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i. Valid Inputs

You can enter a list of up to $\hspace{0.2em} 15 \hspace{0.2em}$ integers (separated by commas) into the calculator.

ii. Example

If you would like to see an example of the calculator's working, just click the "example" button.

iii. Solutions

As mentioned earlier, the calculator won't just tell you the answer but also the steps you can follow to do the calculation yourself. The "show/hide solution" button would be available to you after the calculator has processed your input.

iv. Share

We would love to see you share our calculators with your family, friends, or anyone else who might find it useful.

By checking the "include calculation" checkbox, you can share your calculation as well.

Here's a quick overview of the concept of factors and common factors.

Factors

A factor of a number is an integer that divides into that number evenly (leaves no remainder).

For example, $\hspace{0.2em} 2 \hspace{0.2em}$ is a factor of $\hspace{0.2em} 12 \hspace{0.2em}$ . Similarly, $\hspace{0.2em} 3 \hspace{0.2em}$ is also a factor of $\hspace{0.2em} 8 \hspace{0.2em}$ . But $\hspace{0.2em} 5 \hspace{0.2em}$ is not a factor of $\hspace{0.2em} 12 \hspace{0.2em}$ because it leaves a remainder, $\hspace{0.2em} 2 \hspace{0.2em}$ .

Note — Factors can be both positive and negative. However, when talking about the factors of a positive number, generally, we care only about the positive factors.

Common Factors

For a group of numbers, common factors are factors common to the whole group. Or numbers that are factors of each number in the group.

As an example, consider this group of $\hspace{0.2em} 3 \hspace{0.2em}$ numbers — $\hspace{0.2em} 18 \hspace{0.2em}$ , $\hspace{0.2em} 24 \hspace{0.2em}$ , and $\hspace{0.2em} 36 \hspace{0.2em}$ .

Factors of $\hspace{0.2em} 18 \hspace{0.2em}$ — $\hspace{0.2em} {\color{Red} 1} \hspace{0.2em}$ , $\hspace{0.2em} {\color{Red} 2} \hspace{0.2em}$ , $\hspace{0.2em} {\color{Red} 3} \hspace{0.2em}$ , $\hspace{0.2em} {\color{Red} 6} \hspace{0.2em}$ , $\hspace{0.2em} 9 \hspace{0.2em}$ , and $\hspace{0.2em} 18 \hspace{0.2em}$

Factors of $\hspace{0.2em} 24 \hspace{0.2em}$ — $\hspace{0.2em} {\color{Red} 1} \hspace{0.2em}$ , $\hspace{0.2em} {\color{Red} 2} \hspace{0.2em}$ , $\hspace{0.2em} {\color{Red} 3} \hspace{0.2em}$ , $\hspace{0.2em} 4 \hspace{0.2em}$ , $\hspace{0.2em} {\color{Red} 6} \hspace{0.2em}$ , $\hspace{0.2em} 12 \hspace{0.2em}$ , and $\hspace{0.2em} 24 \hspace{0.2em}$

Factors of $\hspace{0.2em} 36 \hspace{0.2em}$ — $\hspace{0.2em} {\color{Red} 1} \hspace{0.2em}$ , $\hspace{0.2em} {\color{Red} 2} \hspace{0.2em}$ , $\hspace{0.2em} {\color{Red} 3} \hspace{0.2em}$ , $\hspace{0.2em} 4 \hspace{0.2em}$ , $\hspace{0.2em} {\color{Red} 6} \hspace{0.2em}$ , $\hspace{0.2em} 9 \hspace{0.2em}$ , $\hspace{0.2em} 12 \hspace{0.2em}$ , $\hspace{0.2em} 18 \hspace{0.2em}$ , and $\hspace{0.2em} 36 \hspace{0.2em}$ .