Calculate the Greatest Common Factor or GCF of 85, 136 and 153
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The instructions to find the GCF of 85, 136 and 153 are the next:
1. Decompose all numbers into prime factors
85 | 5 |
17 | 17 |
1 |
136 | 2 |
68 | 2 |
34 | 2 |
17 | 17 |
1 |
153 | 3 |
51 | 3 |
17 | 17 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 85 | = | 5 . 17 |
Prime factors of 136 | = | 23 . 17 |
Prime factors of 153 | = | 32 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 17
Common prime factors with the lowest exponent: 171
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 = 171 = 17
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