Calculate the Greatest Common Factor or GCF of 609 and 657
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The instructions to find the GCF of 609 and 657 are the next:
1. Decompose all numbers into prime factors
609 | 3 |
203 | 7 |
29 | 29 |
1 |
657 | 3 |
219 | 3 |
73 | 73 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 609 | = | 3 . 7 . 29 |
Prime factors of 657 | = | 32 . 73 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 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 = 31 = 3
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