GCF (HCF) of 34 and 85

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What is the Greatest Common Divisor of 34 and 85?

Answer

GCF (HCF) of 34 and 85 is
17

Common factors: 1, 17

17 divides both: 34 ÷ 17 = 2, 85 ÷ 17 = 5 — and 2 and 5 share no factor but 1, so no larger number divides both.

34 = 2 × 17

85 = 5 × 17

Prime3485Lowest power
22——
5—5—
17171717

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

GCF = 17

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GCF Table

Number 1Number 2GCF
34351
34362
34371
34382
34402
34411
34431
34442
34462
34482
34491
34502
345117
34522
34542
34551
34562
34571
34591
34602
34631
346834
348517

FAQ

What is the Greatest Common Divisor of 34 and 85?

GCF (HCF) of 34 and 85 is 17

How to find the GCF of 34 and 85?

You can find the GCF of 34 and 85 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 34 and 85 is 17.

What prime factors do 34 and 85 share?

The prime factorizations of 34 and 85 have 17 in common, and multiplying those shared primes gives 17 — exactly the greatest common factor.

How does the GCF reduce the fraction 34/85?

Divide the numerator and the denominator by the GCF 17: 34 ÷ 17 = 2 and 85 ÷ 17 = 5. So 34/85 in lowest terms is 2/5.

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