No. 1 is not their only common factor. 17 is actually a factor of 68, so they have 1 and 17 as common factors.
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The 6 factors of 68 are 1, 2, 4, 17, 34, and 68.The prime factors of 68 are 2, 2, and 17.The prime factorization of 68 is 2 x 2 x 17 or, in index form (in other words, using exponents), 22 x 17.The prime factorization of 68 is:2 X 2 X 17.So the prime factors of 68 are 2 and 17.
As a product of its prime factors: 2*2*17 = 68
19 isn't a factor of 68 and 34 isn't prime. Other than that... The largest prime factor of 68 is 17.
68
2 x 2 x 17