Calculate the Greatest Common Factor or GCF of 51000
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The instructions to find the GCF of 51000 are the next:
1. Decompose all numbers into prime factors
51000 | 2 |
25500 | 2 |
12750 | 2 |
6375 | 3 |
2125 | 5 |
425 | 5 |
85 | 5 |
17 | 17 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 51000 | = | 23 . 3 . 53 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5 , 17
Common prime factors with the lowest exponent: 23, 31, 53, 171
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. 171 = 51000
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