Calculate the Greatest Common Factor or GCF of 72 and 3640
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The instructions to find the GCF of 72 and 3640 are the next:
1. Decompose all numbers into prime factors
72 | 2 |
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
3640 | 2 |
1820 | 2 |
910 | 2 |
455 | 5 |
91 | 7 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 72 | = | 23 . 32 |
Prime factors of 3640 | = | 23 . 5 . 7 . 13 |
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
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