Calculate the Greatest Common Factor or GCF of 30000
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The instructions to find the GCF of 30000 are the next:
1. Decompose all numbers into prime factors
| 30000 | 2 |
| 15000 | 2 |
| 7500 | 2 |
| 3750 | 2 |
| 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 30000 | = | 24 . 3 . 54 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5
Common prime factors with the lowest exponent: 24, 31, 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 = 24. 31. 54 = 30000
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