Calculate the Greatest Common Factor or GCF of 106 and 2246
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The instructions to find the GCF of 106 and 2246 are the next:
1. Decompose all numbers into prime factors
106 | 2 |
53 | 53 |
1 |
2246 | 2 |
1123 | 1123 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 106 | = | 2 . 53 |
Prime factors of 2246 | = | 2 . 1123 |
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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