Calculate the Greatest Common Factor or GCF of 308 and 715
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The instructions to find the GCF of 308 and 715 are the next:
1. Decompose all numbers into prime factors
| 308 | 2 |
| 154 | 2 |
| 77 | 7 |
| 11 | 11 |
| 1 |
| 715 | 5 |
| 143 | 11 |
| 13 | 13 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 308 | = | 22 . 7 . 11 |
| Prime factors of 715 | = | 5 . 11 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 11
Common prime factors with the lowest exponent: 111
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 = 111 = 11
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