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Calculate the Greatest Common Factor or GCF of 84, 208 and 341

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The instructions to find the GCF of 84, 208 and 341 are the next:

1. Decompose all numbers into prime factors

842
422
213
77
1
2082
1042
522
262
1313
1
34111
3131
1

2. Write all numbers as the product of its prime factors

Prime factors of 84=22 . 3 . 7
Prime factors of 208=24 . 13
Prime factors of 341=11 . 31

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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