Calculate the Greatest Common Factor or GCF of 365 and 657
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The instructions to find the GCF of 365 and 657 are the next:
1. Decompose all numbers into prime factors
| 365 | 5 |
| 73 | 73 |
| 1 |
| 657 | 3 |
| 219 | 3 |
| 73 | 73 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 365 | = | 5 . 73 |
| Prime factors of 657 | = | 32 . 73 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 73
Common prime factors with the lowest exponent: 731
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 = 731 = 73
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