Calculate the Greatest Common Factor or GCF of 3675
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The instructions to find the GCF of 3675 are the next:
1. Decompose all numbers into prime factors
| 3675 | 3 |
| 1225 | 5 |
| 245 | 5 |
| 49 | 7 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 3675 | = | 3 . 52 . 72 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 5 , 7
Common prime factors with the lowest exponent: 31, 52, 72
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. 52. 72 = 3675
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