Calculate the Greatest Common Factor or GCF of 5625
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The instructions to find the GCF of 5625 are the next:
1. Decompose all numbers into prime factors
| 5625 | 3 |
| 1875 | 3 |
| 625 | 5 |
| 125 | 5 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 5625 | = | 32 . 54 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 5
Common prime factors with the lowest exponent: 32, 54
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 = 32. 54 = 5625
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