GCF (HCF) of 34 and 39

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What is the Greatest Common Divisor of 34 and 39?

Answer

GCF (HCF) of 34 and 39 is
1

Common factors: 1

Only 1 divides both: 34 and 39 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 34 × 39 = 1,326.

34 = 2 × 17

39 = 3 × 13

Prime3439Lowest power
22——
3—3—
13—13—
1717——

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

GCF = 1

See Also

FAQ

What is the Greatest Common Divisor of 34 and 39?

GCF (HCF) of 34 and 39 is 1

How to find the GCF of 34 and 39?

You can find the GCF of 34 and 39 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 34 and 39 is 1.

What prime factors do 34 and 39 share?

34 and 39 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 34/39?

Divide the numerator and the denominator by the GCF 1: 34 ÷ 1 = 34 and 39 ÷ 1 = 39. So 34/39 in lowest terms is 34/39.

Are 34 and 39 coprime?

Yes, 34 and 39 are coprime (relatively prime) because their Greatest Common Factor is 1.