Calculate the Greatest Common Factor or GCF of 72 and 3564
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The instructions to find the GCF of 72 and 3564 are the next:
1. Decompose all numbers into prime factors
72 | 2 |
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
3564 | 2 |
1782 | 2 |
891 | 3 |
297 | 3 |
99 | 3 |
33 | 3 |
11 | 11 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 72 | = | 23 . 32 |
Prime factors of 3564 | = | 22 . 34 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 22, 32
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. 32 = 36
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