GCF (HCF) of 16 and 39

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What is the Greatest Common Divisor of 16 and 39?

Answer

GCF (HCF) of 16 and 39 is
1

Common factors: 1

Only 1 divides both: 16 and 39 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 16 × 39 = 624.

16 = 24

39 = 3 × 13

Prime1639Lowest power
224——
3—3—
13—13—

— = 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 16 and 39?

GCF (HCF) of 16 and 39 is 1

How to find the GCF of 16 and 39?

You can find the GCF of 16 and 39 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 16 and 39 is 1.

What prime factors do 16 and 39 share?

16 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 16/39?

Divide the numerator and the denominator by the GCF 1: 16 ÷ 1 = 16 and 39 ÷ 1 = 39. So 16/39 in lowest terms is 16/39.

Are 16 and 39 coprime?

Yes, 16 and 39 are coprime (relatively prime) because their Greatest Common Factor is 1.