Calculate the Greatest Common Factor or GCF of 69, 114 and 315
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The instructions to find the GCF of 69, 114 and 315 are the next:
1. Decompose all numbers into prime factors
| 69 | 3 |
| 23 | 23 |
| 1 |
| 114 | 2 |
| 57 | 3 |
| 19 | 19 |
| 1 |
| 315 | 3 |
| 105 | 3 |
| 35 | 5 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 69 | = | 3 . 23 |
| Prime factors of 114 | = | 2 . 3 . 19 |
| Prime factors of 315 | = | 32 . 5 . 7 |
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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