# Common Factor Calculator

Please provide integers separated by a comma "," and click the "Calculate" button to find their common factors.

### What is a factor?

A factor is a term in multiplication. For example, in:

3 × 4 = 12,

3 and 4 are the factors. It is possible for a number to have multiple factors. Using 12 as an example, in addition to 3 and 4 being factors:

3 × 4 = 12

2 × 6 = 12

1 × 12 = 12

It can be seen that 1, 2, 3, 4, 6, and 12 are all factors of the number 12. This is the most basic form of a factor, but algebraic expressions can also be factored, though that is not the intent of this calculator.

### What is a common factor?

A common factor is a factor that is shared between two different numbers. It can also be referred to as a common divisor. As an example:

The factors of 16 include: 1, 2, 4, 8, and 16.

The factors of 12 include: 1, 2, 3, 4, 6, and 12.

Thus, the common factors of 16 and 12 are: 1, 2, and 4.

Often in math problems, it can be desirable to find the greatest common factor of some given numbers. In this case, the greatest common factor is 4.

This calculator only accepts positive integers as input to calculate their common factors. While only two numbers are used in the above example, the calculator can compute the common factors of more than two numbers.