GCF (HCF) of 68 and 102

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What is the Greatest Common Divisor of 68 and 102?

Answer

GCF (HCF) of 68 and 102 is
34

Common factors: 1, 2, 17, 34

34 divides both: 68 ÷ 34 = 2, 102 ÷ 34 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

68 = 22 × 17

102 = 2 × 3 × 17

Prime68102Lowest power
22222
3—3—
17171717

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 2 × 17 = 34

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GCF Table

Number 1Number 2GCF
68871
68884
68891
68902
68911
68924
68931
68942
68951
68964
68971
68982
68991
681004
681011
6810234
681031
681044
681051
681062
681071
681084
681091
681102
681111
681124
681131
681142
681151
681164

FAQ

What is the Greatest Common Divisor of 68 and 102?

GCF (HCF) of 68 and 102 is 34

How to find the GCF of 68 and 102?

You can find the GCF of 68 and 102 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 68 and 102 is 34.

What prime factors do 68 and 102 share?

The prime factorizations of 68 and 102 have 2 × 17 in common, and multiplying those shared primes gives 34 — exactly the greatest common factor.

How does the GCF reduce the fraction 68/102?

Divide the numerator and the denominator by the GCF 34: 68 ÷ 34 = 2 and 102 ÷ 34 = 3. So 68/102 in lowest terms is 2/3.

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