Calculate the Greatest Common Factor or GCF of 272 and 1032
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The instructions to find the GCF of 272 and 1032 are the next:
1. Decompose all numbers into prime factors
| 272 | 2 |
| 136 | 2 |
| 68 | 2 |
| 34 | 2 |
| 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 272 | = | 24 . 17 |
| Prime factors of 1032 | = | 23 . 3 . 43 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 23
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 = 8
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