Calculate the Greatest Common Factor or GCF of 3000
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The instructions to find the GCF of 3000 are the next:
1. Decompose all numbers into prime factors
| 3000 | 2 |
| 1500 | 2 |
| 750 | 2 |
| 375 | 3 |
| 125 | 5 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 3000 | = | 23 . 3 . 53 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5
Common prime factors with the lowest exponent: 23, 31, 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 = 23. 31. 53 = 3000
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