Calculate the Greatest Common Factor or GCF of 108, 285 and 321
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The instructions to find the GCF of 108, 285 and 321 are the next:
1. Decompose all numbers into prime factors
| 108 | 2 |
| 54 | 2 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 285 | 3 |
| 95 | 5 |
| 19 | 19 |
| 1 |
| 321 | 3 |
| 107 | 107 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 108 | = | 22 . 33 |
| Prime factors of 285 | = | 3 . 5 . 19 |
| Prime factors of 321 | = | 3 . 107 |
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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