Calculate the Greatest Common Factor or GCF of 125 and 5000
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The instructions to find the GCF of 125 and 5000 are the next:
1. Decompose all numbers into prime factors
125 | 5 |
25 | 5 |
5 | 5 |
1 |
5000 | 2 |
2500 | 2 |
1250 | 2 |
625 | 5 |
125 | 5 |
25 | 5 |
5 | 5 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 125 | = | 53 |
Prime factors of 5000 | = | 23 . 54 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 5
Common prime factors with the lowest exponent: 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 = 53 = 125
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