Answer: greatest common factor is 1.
Step-by-step explanation:
Method 1: By Listing Factors
List out all factors of each number, and find the first common one.
Factors of 58 : 1, 2, 29, 58
Factors of 17 : 1, 17
Therefore, the GCF is 11.
Method 2: By Prime Factors
List all prime factors of each denominator, and find the intersection of these primes.
Prime Factors of 58 : 2, 29
Prime Factors of 17 : 17
There is no prime factor shared by all numbers. Therefore, the GCF is 1.