Calculate the Greatest Common Factor or GCF of 75, 105 and 275
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The instructions to find the GCF of 75, 105 and 275 are the next:
1. Decompose all numbers into prime factors
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 105 | 3 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 275 | 5 |
| 55 | 5 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 75 | = | 3 . 52 |
| Prime factors of 105 | = | 3 . 5 . 7 |
| Prime factors of 275 | = | 52 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 5
Common prime factors with the lowest exponent: 51
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 = 51 = 5
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