Calculate the Greatest Common Factor or GCF of 2172
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The instructions to find the GCF of 2172 are the next:
1. Decompose all numbers into prime factors
2172 | 2 |
1086 | 2 |
543 | 3 |
181 | 181 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 2172 | = | 22 . 3 . 181 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 181
Common prime factors with the lowest exponent: 22, 31, 1811
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. 1811 = 2172
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