For any two numbers, there is always a number

that is a factor of both. For example, the numbers

24 and 36 both have 6 as a factor. When a number

is a factor of two numbers, it is called a **common**

factor or **common divisor. **

Among the common factors of two numbers, there

will always be a largest number, which is called the

**greatest common factor. **The greatest common factor

of 24 and 36 is 12. This is sometimes written as GCF(24,36)=12.

For any two nonzero whole numbers **a**** **and **b**** **the

**greatest common factor, **written as GCF(**a,b), **is the greatest

factor (divisor) of both **a **and **b. **

### Like this:

Like Loading...

*Related*