Calculate the Greatest Common Factor or GCF of 114, 221 and 268
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The instructions to find the GCF of 114, 221 and 268 are the next:
1. Decompose all numbers into prime factors
114 | 2 |
57 | 3 |
19 | 19 |
1 |
221 | 13 |
17 | 17 |
1 |
268 | 2 |
134 | 2 |
67 | 67 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 114 | = | 2 . 3 . 19 |
Prime factors of 221 | = | 13 . 17 |
Prime factors of 268 | = | 22 . 67 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: None
Common prime factors with the lowest exponent: None
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.
Since there are not common prime factors the GCF is 1
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