Calculate the Greatest Common Factor or GCF of 117, 156 and 195
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The instructions to find the GCF of 117, 156 and 195 are the next:
1. Decompose all numbers into prime factors
| 117 | 3 |
| 39 | 3 |
| 13 | 13 |
| 1 |
| 156 | 2 |
| 78 | 2 |
| 39 | 3 |
| 13 | 13 |
| 1 |
| 195 | 3 |
| 65 | 5 |
| 13 | 13 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 117 | = | 32 . 13 |
| Prime factors of 156 | = | 22 . 3 . 13 |
| Prime factors of 195 | = | 3 . 5 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 13
Common prime factors with the lowest exponent: 31, 131
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. 131 = 39
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