Calculate the Greatest Common Factor or GCF of 1125 and 3624
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The instructions to find the GCF of 1125 and 3624 are the next:
1. Decompose all numbers into prime factors
| 1125 | 3 |
| 375 | 3 |
| 125 | 5 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 3624 | 2 |
| 1812 | 2 |
| 906 | 2 |
| 453 | 3 |
| 151 | 151 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1125 | = | 32 . 53 |
| Prime factors of 3624 | = | 23 . 3 . 151 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 31
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 = 3
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