Calculate the Greatest Common Factor or GCF of 34125
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The instructions to find the GCF of 34125 are the next:
1. Decompose all numbers into prime factors
34125 | 3 |
11375 | 5 |
2275 | 5 |
455 | 5 |
91 | 7 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 34125 | = | 3 . 53 . 7 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 5 , 7 , 13
Common prime factors with the lowest exponent: 31, 53, 71, 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 = 31. 53. 71. 131 = 34125
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