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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 72 and 3680

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The instructions to find the GCF of 72 and 3680 are the next:

1. Decompose all numbers into prime factors

72	2
36	2
18	2
9	3
3	3
1

3680	2
1840	2
920	2
460	2
230	2
115	5
23	23
1

2. Write all numbers as the product of its prime factors

Prime factors of 72	=	2³ . 3²
Prime factors of 3680	=	2⁵ . 5 . 23

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 2³

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 2³ = 8

Also calculates the:

Least Common Multiple or LCM of 72 and 3680

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