Calculate the Greatest Common Factor or GCF of 6, 8, 10 and 12
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The instructions to find the GCF of 6, 8, 10 and 12 are the next:
1. Decompose all numbers into prime factors
6 | 2 |
3 | 3 |
1 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
10 | 2 |
5 | 5 |
1 |
12 | 2 |
6 | 2 |
3 | 3 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 6 | = | 2 . 3 |
Prime factors of 8 | = | 23 |
Prime factors of 10 | = | 2 . 5 |
Prime factors of 12 | = | 22 . 3 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 2
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