Calculate the Greatest Common Factor or GCF of 22, 121 and 418
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The instructions to find the GCF of 22, 121 and 418 are the next:
1. Decompose all numbers into prime factors
22 | 2 |
11 | 11 |
1 |
121 | 11 |
11 | 11 |
1 |
418 | 2 |
209 | 11 |
19 | 19 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 22 | = | 2 . 11 |
Prime factors of 121 | = | 112 |
Prime factors of 418 | = | 2 . 11 . 19 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 11
Common prime factors with the lowest exponent: 111
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 = 111 = 11
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