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Finding the Greatest Common Divisor of Two Numbers by Factoring

You can find the greatest common divisor (GCD) of two numbers by multiplying together all the prime factors they have in common.

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A much more efficient way of computing GCDs has been known for the past 2300 years. Named the Euclidean Algorithm, it is one of the oldest mathematical procedures known, appearing in Euclid's Elements around 300 BC.

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"Finding the Greatest Common Divisor of Two Numbers by Factoring" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/FindingTheGreatestCommonDivisorOfTwoNumbersByFactoring/
Contributed by: Jesse Nochella
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Common Core State Standards for Mathematics
 
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