# Greatest Common Factor Calculator

Use our Greatest Common Factor to find the GCF of any combination of numbers.

To use the GCD / GCF / HCF Calculator below just enter a set of numbers separated by commas (,).

### See also:

## How to find the Greatest Common Factor

### GCF example:

The first step is to find all divisors of each number. For instance, let us find the gcf(4,6,8).

In this case we have:

- The factors of 4 (all the whole numbers that can divide the number without a remainder) are 1, 2 and 4;
- The factors of 6 are 1, 2, 3 and 6;
- The factors of 8 are 1, 2, 4 and 8.

The second step is to analyze which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 4, 6 and 8 is 1. The GCF is the largest common positive integer that divides all the numbers (4,6,8) without a remainder.

The GCF is also known as:

- Greatest common divisor (gcd);
- Highest common factor (hcf);
- Greatest common measure (gcm), or
- Highest common divisor

To learn more about GCF/GCD, watch this video from Khan Academy or/and read this arcticle.

### Greatest Common Factor Calculator

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