GCF (HCF) of 6 and 13

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What is the Greatest Common Divisor of 6 and 13?

Answer

GCF (HCF) of 6 and 13 is
1

Common factors: 1

Only 1 divides both: 6 and 13 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 6 × 13 = 78.

6 = 2 × 3

13 — prime

Prime613Lowest power
22——
33——
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 6 and 13?

GCF (HCF) of 6 and 13 is 1

How to find the GCF of 6 and 13?

You can find the GCF of 6 and 13 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 13 is 1.

What prime factors do 6 and 13 share?

6 and 13 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 6/13?

Divide the numerator and the denominator by the GCF 1: 6 ÷ 1 = 6 and 13 ÷ 1 = 13. So 6/13 in lowest terms is 6/13.

Are 6 and 13 coprime?

Yes, 6 and 13 are coprime (relatively prime) because their Greatest Common Factor is 1.