Solution: We use the prime factorization method. \(68 = 2^2 \times 17\) and \(102 = 2 \times 3 \times 17\). The common prime factors are 2 and 17. Taking the lowest powers, we get \(2^1 \times 17^1 = 34\). Thus, the greatest common factor is \(\boxed34\). - Groen Casting