Calculate the Greatest Common Factor or GCF of 392 and 616
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The instructions to find the GCF of 392 and 616 are the next:
1. Decompose all numbers into prime factors
| 392 | 2 |
| 196 | 2 |
| 98 | 2 |
| 49 | 7 |
| 7 | 7 |
| 1 |
| 616 | 2 |
| 308 | 2 |
| 154 | 2 |
| 77 | 7 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 392 | = | 23 . 72 |
| Prime factors of 616 | = | 23 . 7 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 7
Common prime factors with the lowest exponent: 23, 71
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. 71 = 56
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