Calculate the Greatest Common Factor or GCF of 675 and 825
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The instructions to find the GCF of 675 and 825 are the next:
1. Decompose all numbers into prime factors
| 675 | 3 |
| 225 | 3 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 825 | 3 |
| 275 | 5 |
| 55 | 5 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 675 | = | 33 . 52 |
| Prime factors of 825 | = | 3 . 52 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 5
Common prime factors with the lowest exponent: 31, 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 = 31. 52 = 75
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