Calculate the Greatest Common Factor or GCF of 6, 100, 106 and 124
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The instructions to find the GCF of 6, 100, 106 and 124 are the next:
1. Decompose all numbers into prime factors
6 | 2 |
3 | 3 |
1 |
100 | 2 |
50 | 2 |
25 | 5 |
5 | 5 |
1 |
106 | 2 |
53 | 53 |
1 |
124 | 2 |
62 | 2 |
31 | 31 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 6 | = | 2 . 3 |
Prime factors of 100 | = | 22 . 52 |
Prime factors of 106 | = | 2 . 53 |
Prime factors of 124 | = | 22 . 31 |
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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