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

1 Answer
Kaoutar Q.
Nov 18, 2016

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)

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