Calculate the Greatest Common Factor or GCF of 58500
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The instructions to find the GCF of 58500 are the next:
1. Decompose all numbers into prime factors
| 58500 | 2 |
| 29250 | 2 |
| 14625 | 3 |
| 4875 | 3 |
| 1625 | 5 |
| 325 | 5 |
| 65 | 5 |
| 13 | 13 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 58500 | = | 22 . 32 . 53 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5 , 13
Common prime factors with the lowest exponent: 22, 32, 53, 131
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 = 22. 32. 53. 131 = 58500
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