Question

What is the greatest common factor of the pair of numbers 333 and 441?

Answer 1

The Greatest Common Factor of (333, 441) is 9

Explanation:

Here's one way to do it :

• Find the prime factors of each number :

`333=3xx111=3xx3xx37=3^2xx37`
`441=3xx147=3xx3xx49=3^2xx7^2`

• Find the common prime factors between theses numbers :
  in this case it's only 3

• Take the smaller exponent :
  which is `3^2`

• The GCF is 9

When you have so many common factors you take their smaller exponents and multiply them together to find the GCF.

For more examples :
(http://www.coolmath.com/prealgebra/01-gcfs-lcms/02-greatest-common-factors-04)