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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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What is the greatest common factor for 34 and 17?
The greatest common factor of 34 , 17 = 17
What is a greatest common factor of 17 and 51?
17 is the greatest common factor - it goes into 17 once, and 51 three times.
What is the greatest common factor of 34 and 51?
Greatest common factor of 51 and 34 is 17.
Greatest common factor of 17 and 68?
17
What is the greatest common factor of 51 and 119?
The factors of 51 are 1, 3, 17, and 51. The factors of 119 are 1, 7, 17, and 119. The factors they have in common are 1 and 17. Therefore the greatest common factor is 17. The greatest common factor can also be determined from the prime factors. The prime factors of 51 are 3 and 17. The prime factors of 119 are 7 and 17. The prime factors they have in common are a single 17, so the greatest common factor is 17.
