Calculate the Greatest Common Factor or GCF of 34, 51 and 289
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The instructions to find the GCF of 34, 51 and 289 are the next:
1. Decompose all numbers into prime factors
| 34 | 2 |
| 17 | 17 |
| 1 |
| 51 | 3 |
| 17 | 17 |
| 1 |
| 289 | 17 |
| 17 | 17 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 34 | = | 2 . 17 |
| Prime factors of 51 | = | 3 . 17 |
| Prime factors of 289 | = | 172 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 17
Common prime factors with the lowest exponent: 171
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 = 171 = 17
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