GCF (HCF) of 17 and 34

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 17 and 34?

Answer

GCF (HCF) of 17 and 34 is

Common factors: 1, 17

17 divides 34 (34 ÷ 17 = 2), so the GCF is the smaller number itself.

17 — prime

34 = 2 × 17

Prime	17	34	Lowest power
2	—	2	—
17	17	17	17

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

GCF = 17

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
17	18	1
17	19	1
17	20	1
17	21	1
17	23	1
17	24	1
17	25	1
17	26	1
17	27	1
17	28	1
17	29	1
17	30	1
17	34	17
17	38	1
17	41	1
17	42	1
17	43	1
17	44	1
17	46	1
17	47	1
17	48	1
17	51	17
17	54	1
17	55	1
17	56	1
17	58	1
17	60	1

FAQ

What is the Greatest Common Divisor of 17 and 34?

GCF (HCF) of 17 and 34 is 17

How to find the GCF of 17 and 34?

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

What prime factors do 17 and 34 share?

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

How does the GCF reduce the fraction 17/34?

Divide the numerator and the denominator by the GCF 17: 17 ÷ 17 = 1 and 34 ÷ 17 = 2. So 17/34 in lowest terms is 1/2.

GCF (HCF) of 17 and 34

What is the Greatest Common Divisor of 17 and 34?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 17 and 34?

How to find the GCF of 17 and 34?

What prime factors do 17 and 34 share?

How does the GCF reduce the fraction 17/34?

See Also

Number 1	Number 2	GCF
17	18	1
17	19	1
17	20	1
17	21	1
17	23	1
17	24	1
17	25	1
17	26	1
17	27	1
17	28	1
17	29	1
17	30	1
17	34	17
17	38	1
17	41	1
17	42	1
17	43	1
17	44	1
17	46	1
17	47	1
17	48	1
17	51	17
17	54	1
17	55	1
17	56	1
17	58	1
17	60	1

Number 1	Number 2	GCF
17	18	1
17	19	1
17	20	1
17	21	1
17	23	1
17	24	1
17	25	1
17	26	1
17	27	1
17	28	1
17	29	1
17	30	1
17	34	17
17	38	1
17	41	1
17	42	1
17	43	1
17	44	1
17	46	1
17	47	1
17	48	1
17	51	17
17	54	1
17	55	1
17	56	1
17	58	1
17	60	1

Number 1	Number 2	GCF
17	18	1
17	19	1
17	20	1
17	21	1
17	23	1
17	24	1
17	25	1
17	26	1
17	27	1
17	28	1
17	29	1
17	30	1
17	34	17
17	38	1
17	41	1
17	42	1
17	43	1
17	44	1
17	46	1
17	47	1
17	48	1
17	51	17
17	54	1
17	55	1
17	56	1
17	58	1
17	60	1