Calculate the Greatest Common Factor or GCF of 75, 120 and 132
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The instructions to find the GCF of 75, 120 and 132 are the next:
1. Decompose all numbers into prime factors
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 120 | 2 |
| 60 | 2 |
| 30 | 2 |
| 15 | 3 |
| 5 | 5 |
| 1 |
| 132 | 2 |
| 66 | 2 |
| 33 | 3 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 75 | = | 3 . 52 |
| Prime factors of 120 | = | 23 . 3 . 5 |
| Prime factors of 132 | = | 22 . 3 . 11 |
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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