Calculate the Greatest Common Factor or GCF of 117, 220 and 222
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The instructions to find the GCF of 117, 220 and 222 are the next:
1. Decompose all numbers into prime factors
117 | 3 |
39 | 3 |
13 | 13 |
1 |
220 | 2 |
110 | 2 |
55 | 5 |
11 | 11 |
1 |
222 | 2 |
111 | 3 |
37 | 37 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 117 | = | 32 . 13 |
Prime factors of 220 | = | 22 . 5 . 11 |
Prime factors of 222 | = | 2 . 3 . 37 |
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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