GCF (HCF) of 2 and 34

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What is the Greatest Common Divisor of 2 and 34?

Answer

GCF (HCF) of 2 and 34 is
2

Common factors: 1, 2

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

2 — prime

34 = 2 × 17

Prime234Lowest power
2222
17—17—

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

GCF = 2

See Also

FAQ

What is the Greatest Common Divisor of 2 and 34?

GCF (HCF) of 2 and 34 is 2

How to find the GCF of 2 and 34?

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

What prime factors do 2 and 34 share?

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

How does the GCF reduce the fraction 2/34?

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