Calculate the Greatest Common Factor or GCF of 1500
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The instructions to find the GCF of 1500 are the next:
1. Decompose all numbers into prime factors
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 1500 | = | 22 . 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: 22, 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 = 22. 31. 53 = 1500
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