Calculate the Greatest Common Factor or GCF of 234, 342 and 482
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The instructions to find the GCF of 234, 342 and 482 are the next:
1. Decompose all numbers into prime factors
234 | 2 |
117 | 3 |
39 | 3 |
13 | 13 |
1 |
342 | 2 |
171 | 3 |
57 | 3 |
19 | 19 |
1 |
482 | 2 |
241 | 241 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 234 | = | 2 . 32 . 13 |
Prime factors of 342 | = | 2 . 32 . 19 |
Prime factors of 482 | = | 2 . 241 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 21 = 2
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