Calculate the Greatest Common Factor or GCF of 175 and 1001
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The instructions to find the GCF of 175 and 1001 are the next:
1. Decompose all numbers into prime factors
| 175 | 5 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 1001 | 7 |
| 143 | 11 |
| 13 | 13 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 175 | = | 52 . 7 |
| Prime factors of 1001 | = | 7 . 11 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 7
Common prime factors with the lowest exponent: 71
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 = 71 = 7
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