# What is the greatest common factor of 108 and 168?

##### 2 Answers

Apr 8, 2016

Greatest Common Factor is

#### Explanation:

Factors of

Factors of

Common Factors are

Hence Greatest Common Factor is

Apr 8, 2016

#### Explanation:

An alternative approach that does not require factoring both numbers first goes as follows:

Divide the larger number by the smaller to give a quotient and remainder.

If the remainder is zero then the smaller number is the GCF.

Otherwise, repeat with the smaller number and the remainder.

In our example:

#168/108 = 1# with remainder#60#

#108/60 = 1# with remainder#48#

#60/48 = 1# with remainder#12#

#48/12 = 4# with remainder#0#

So the GCF is