Calculate the Greatest Common Factor or GCF of 100 and 625
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The instructions to find the GCF of 100 and 625 are the next:
1. Decompose all numbers into prime factors
| 100 | 2 |
| 50 | 2 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 625 | 5 |
| 125 | 5 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 100 | = | 22 . 52 |
| Prime factors of 625 | = | 54 |
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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