Calculate the Greatest Common Factor or GCF of 408 and 1032
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The instructions to find the GCF of 408 and 1032 are the next:
1. Decompose all numbers into prime factors
| 408 | 2 |
| 204 | 2 |
| 102 | 2 |
| 51 | 3 |
| 17 | 17 |
| 1 |
| 1032 | 2 |
| 516 | 2 |
| 258 | 2 |
| 129 | 3 |
| 43 | 43 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 408 | = | 23 . 3 . 17 |
| Prime factors of 1032 | = | 23 . 3 . 43 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 23, 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 = 23. 31 = 24
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