Calculate the Greatest Common Factor or GCF of 32400
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The instructions to find the GCF of 32400 are the next:
1. Decompose all numbers into prime factors
| 32400 | 2 |
| 16200 | 2 |
| 8100 | 2 |
| 4050 | 2 |
| 2025 | 3 |
| 675 | 3 |
| 225 | 3 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 32400 | = | 24 . 34 . 52 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5
Common prime factors with the lowest exponent: 24, 34, 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 = 24. 34. 52 = 32400
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