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

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

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Answer 1 · 2016-11-18T17:04:33

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

Explanation:

Here's one way to do it :

Find the prime factors of each number :

$333 = 3 \times 111 = 3 \times 3 \times 37 = 3^{2} \times 37$ $333=3xx111=3xx3xx37=3^2xx37$
$441 = 3 \times 147 = 3 \times 3 \times 49 = 3^{2} \times 7^{2}$ $441=3xx147=3xx3xx49=3^2xx7^2$

Find the common prime factors between theses numbers :
in this case it's only 3
Take the smaller exponent :
which is $3^{2}$ $3^2$
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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What is the greatest common factor of the pair of numbers 333 and 441?

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