Calculate the Greatest Common Factor or GCF of 175, 250 and 425
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The instructions to find the GCF of 175, 250 and 425 are the next:
1. Decompose all numbers into prime factors
| 175 | 5 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 250 | 2 |
| 125 | 5 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 425 | 5 |
| 85 | 5 |
| 17 | 17 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 175 | = | 52 . 7 |
| Prime factors of 250 | = | 2 . 53 |
| Prime factors of 425 | = | 52 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 5
Common prime factors with the lowest exponent: 52
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 = 52 = 25
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