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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 72 and 3388

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The instructions to find the GCF of 72 and 3388 are the next:

1. Decompose all numbers into prime factors

722
362
182
93
33
1
33882
16942
8477
12111
1111
1

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

Prime factors of 72=23 . 32
Prime factors of 3388=22 . 7 . 112

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 22

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 = 22 = 4

Also calculates the:

Least Common Multiple or LCM of 72 and 3388

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