Common Factors Calculator
Looking for a quick way to find the common factors of several numbers? Use this common factors calculator to easily solve mathematical problems and instantly find the greatest common factor.
What is a common factors calculator?
A common factors calculator is a digital math tool designed to find all common factors for a given group of positive integers. To use this tool, simply enter the series of numbers you want to factor, separated by commas, and click Calculate. The tool will instantly display all the individual factors for each number, along with the greatest common divisor (GCD) for the entire group.
How to find the factors of a number
Before you look for common numbers, it is helpful to know what a factor actually is. The factors of a number include all whole numbers by which it can be divided without a remainder. For example, the factors of 16 are: 1, 2, 4, 8, and 16. You can divide 16 by any of these numbers and get another whole number without decimals or a remainder.
How to find common factors for a set of numbers
Common factors are the divisors that two or more integers share. If you want to know how to find common factors for a set of numbers, let's look at the factors for the numbers 24, 36, and 48 as an example:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
- Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Comparing these lists, you can see that every number is perfectly divisible by 1, 2, 3, 4, 6, and 12. Therefore, it is safe to say that these specific numbers are the common factors of 24, 36, and 48.
The highest common number in this list is 12. For this reason, 12 is the greatest common divisor (GCD) of the set.
For more information on finding the factors of a single integer, check out the factorization calculator.
Last updated: August 16, 2026