Calculate the Greatest Common Factor or GCF of 51, 89, 35, 68 and 100
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The instructions to find the GCF of 51, 89, 35, 68 and 100 are the next:
1. Decompose all numbers into prime factors
51 | 3 |
17 | 17 |
1 |
89 | 89 |
1 |
35 | 5 |
7 | 7 |
1 |
68 | 2 |
34 | 2 |
17 | 17 |
1 |
100 | 2 |
50 | 2 |
25 | 5 |
5 | 5 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 51 | = | 3 . 17 |
Prime factors of 89 | = | 89 |
Prime factors of 35 | = | 5 . 7 |
Prime factors of 68 | = | 22 . 17 |
Prime factors of 100 | = | 22 . 52 |
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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