Calculate the Greatest Common Factor or GCF of 36000
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The instructions to find the GCF of 36000 are the next:
1. Decompose all numbers into prime factors
| 36000 | 2 |
| 18000 | 2 |
| 9000 | 2 |
| 4500 | 2 |
| 2250 | 2 |
| 1125 | 3 |
| 375 | 3 |
| 125 | 5 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 36000 | = | 25 . 32 . 53 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5
Common prime factors with the lowest exponent: 25, 32, 53
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 = 25. 32. 53 = 36000
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