Calculate the Greatest Common Factor or GCF of 96, 132 and 432
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The instructions to find the GCF of 96, 132 and 432 are the next:
1. Decompose all numbers into prime factors
| 96 | 2 |
| 48 | 2 |
| 24 | 2 |
| 12 | 2 |
| 6 | 2 |
| 3 | 3 |
| 1 |
| 132 | 2 |
| 66 | 2 |
| 33 | 3 |
| 11 | 11 |
| 1 |
| 432 | 2 |
| 216 | 2 |
| 108 | 2 |
| 54 | 2 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 96 | = | 25 . 3 |
| Prime factors of 132 | = | 22 . 3 . 11 |
| Prime factors of 432 | = | 24 . 33 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 22, 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 = 22. 31 = 12
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