Calculate the Greatest Common Factor or GCF of 132, 165 and 231
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The instructions to find the GCF of 132, 165 and 231 are the next:
1. Decompose all numbers into prime factors
| 132 | 2 |
| 66 | 2 |
| 33 | 3 |
| 11 | 11 |
| 1 |
| 165 | 3 |
| 55 | 5 |
| 11 | 11 |
| 1 |
| 231 | 3 |
| 77 | 7 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 132 | = | 22 . 3 . 11 |
| Prime factors of 165 | = | 3 . 5 . 11 |
| Prime factors of 231 | = | 3 . 7 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 11
Common prime factors with the lowest exponent: 31, 111
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. 111 = 33
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