Calculate the Greatest Common Factor or GCF of 6, 24 and 186
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The instructions to find the GCF of 6, 24 and 186 are the next:
1. Decompose all numbers into prime factors
6 | 2 |
3 | 3 |
1 |
24 | 2 |
12 | 2 |
6 | 2 |
3 | 3 |
1 |
186 | 2 |
93 | 3 |
31 | 31 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 6 | = | 2 . 3 |
Prime factors of 24 | = | 23 . 3 |
Prime factors of 186 | = | 2 . 3 . 31 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 21, 31
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 = 21. 31 = 6
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