Calculate the Greatest Common Factor or GCF of 564
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The instructions to find the GCF of 564 are the next:
1. Decompose all numbers into prime factors
564 | 2 |
282 | 2 |
141 | 3 |
47 | 47 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 564 | = | 22 . 3 . 47 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 47
Common prime factors with the lowest exponent: 22, 31, 471
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. 471 = 564
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