Calculate the Greatest Common Factor or GCF of 200
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The instructions to find the GCF of 200 are the next:
1. Decompose all numbers into prime factors
200 | 2 |
100 | 2 |
50 | 2 |
25 | 5 |
5 | 5 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 200 | = | 23 . 52 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5
Common prime factors with the lowest exponent: 23, 52
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. 52 = 200
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