# Greatest Common Factor Calculator

Welcome to our Greatest Common Factor Calculator page.

This calculator will tell you the greatest common factor between two or more numbers.

You can also use the calculator for finding all the factors of any given number.

### Greatest Common Factor Calculator Examples

#### Examples

Example 1) Find the greatest common factor of 148 and 64.

• Factors of 148: 1, 2, 4, 37, 74, 148
• Factors of 64: 1, 2, 4, 8, 16, 32, 64

As both numbers are even, we can see that 2 would be a factor of both numbers.

However, both numbers are also divisible by 4 which is the highest common factor.

The Greatest Common Factor is 4.

Example 2) Find the greatest common factor of 47 and 86.

• Factors of 47: 1, 47
• Factors of 86: 1, 2, 43, 86

In this case, the numbers have no common factor apart from 1.

These numbers are said to be coprime as their only common factor is 1.

The Greatest Common Factor is 1.

Example 3) Find the highest common factor of 144 and 78.

• Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 78: 1, 2, 3, 6, 13, 26, 39, 78

Both these numbers are even, so 2 is a common factor.

However, you will notice that when you add up the digits of both these numbers, the sum is divisible by 3, so 3 is a common factor.

Because both 2 and 3 are common factors, 6 must also be a common factor.

There are no larger factors, so this makes 6 the highest common factor.

The Greatest Common Factor is 6.

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