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The GCF of 14 and 17 is 1. Since 17 is prime, their GCF must be 1.

The factors of 14 are 1, 2, 7 and 14

The factors of 17 are 1 and 17.

So, the GCF = 1.

Alternate method:

Method of prime factorization

14 = 2x7 and 17 = 17

It is clear from the prime factorization of both numbers that there is no common factor except 1.

Therefore, greatest common factor of 14 and 17 is 1.
The GCF is 1.

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Q: What is the greatest common factor of 14 and 17?
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