Calculate the Greatest Common Factor or GCF of 1728 and 3375
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The instructions to find the GCF of 1728 and 3375 are the next:
1. Decompose all numbers into prime factors
| 1728 | 2 |
| 864 | 2 |
| 432 | 2 |
| 216 | 2 |
| 108 | 2 |
| 54 | 2 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 3375 | 3 |
| 1125 | 3 |
| 375 | 3 |
| 125 | 5 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1728 | = | 26 . 33 |
| Prime factors of 3375 | = | 33 . 53 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 33
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 = 33 = 27
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