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GCF (HCF) of 34 and 36

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 34 and 36?

Answer

GCF (HCF) of 34 and 36 is

2

Common factors: 1, 2

2 divides both: 34 ÷ 2 = 17, 36 ÷ 2 = 18 — and 17 and 18 share no factor but 1, so no larger number divides both.

34 = 2 × 17

36 = 2² × 3²

Prime	34	36	Lowest power
2	2	2²	2
3	—	3²	—
17	17	—	—

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

GCF = 2

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 34 and 36. The GCF of 34 and 36 is 2 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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GCF Table

Number 1	Number 2	GCF
34	35	1
34	36	2
34	37	1
34	38	2
34	39	1
34	40	2
34	41	1
34	43	1
34	44	2
34	46	2
34	48	2
34	49	1
34	50	2
34	51	17
34	52	2
34	54	2
34	55	1
34	56	2
34	57	1
34	58	2
34	59	1
34	60	2
34	63	1
34	68	34
34	85	17

FAQ

What is the Greatest Common Divisor of 34 and 36?

GCF (HCF) of 34 and 36 is 2

How to find the GCF of 34 and 36?

You can find the GCF of 34 and 36 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 34 and 36 is 2.

What prime factors do 34 and 36 share?

The prime factorizations of 34 and 36 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 34/36?

Divide the numerator and the denominator by the GCF 2: 34 ÷ 2 = 17 and 36 ÷ 2 = 18. So 34/36 in lowest terms is 17/18.