# Greatest common divisor

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The **greatest common divisor** (**GCD**) or **greatest common factor** of two natural numbers is the largest natural number which evenly divides them both. For example, the greatest common divisor of 62 and 64 is 2 since no bigger number evenly divides *both* 62 and 64, even though larger numbers evenly divide 62 and 64. Sometimes the notation (62,64)=2 is used. The Euclidean algorithm calculates greatest common divisors.