Calculate the Greatest Common Factor or GCF of 111, 185 and 296
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The instructions to find the GCF of 111, 185 and 296 are the next:
1. Decompose all numbers into prime factors
| 111 | 3 |
| 37 | 37 |
| 1 |
| 185 | 5 |
| 37 | 37 |
| 1 |
| 296 | 2 |
| 148 | 2 |
| 74 | 2 |
| 37 | 37 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 111 | = | 3 . 37 |
| Prime factors of 185 | = | 5 . 37 |
| Prime factors of 296 | = | 23 . 37 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 37
Common prime factors with the lowest exponent: 371
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 = 371 = 37
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