Calculate the Greatest Common Factor or GCF of 31944
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The instructions to find the GCF of 31944 are the next:
1. Decompose all numbers into prime factors
31944 | 2 |
15972 | 2 |
7986 | 2 |
3993 | 3 |
1331 | 11 |
121 | 11 |
11 | 11 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 31944 | = | 23 . 3 . 113 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 11
Common prime factors with the lowest exponent: 23, 31, 113
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. 31. 113 = 31944
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