Calculate the Greatest Common Factor or GCF of 72 and 3648
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The instructions to find the GCF of 72 and 3648 are the next:
1. Decompose all numbers into prime factors
72 | 2 |
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
3648 | 2 |
1824 | 2 |
912 | 2 |
456 | 2 |
228 | 2 |
114 | 2 |
57 | 3 |
19 | 19 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 72 | = | 23 . 32 |
Prime factors of 3648 | = | 26 . 3 . 19 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 23, 31
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. 31 = 24
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