GCF (HCF) of 10 and 13

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What is the Greatest Common Divisor of 10 and 13?

Answer

GCF (HCF) of 10 and 13 is
1

Common factors: 1

Only 1 divides both: 10 and 13 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 10 × 13 = 130.

10 = 2 × 5

13 — prime

Prime1013Lowest power
22——
55——
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 10 and 13?

GCF (HCF) of 10 and 13 is 1

How to find the GCF of 10 and 13?

You can find the GCF of 10 and 13 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 10 and 13 is 1.

What prime factors do 10 and 13 share?

10 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 10/13?

Divide the numerator and the denominator by the GCF 1: 10 ÷ 1 = 10 and 13 ÷ 1 = 13. So 10/13 in lowest terms is 10/13.

Are 10 and 13 coprime?

Yes, 10 and 13 are coprime (relatively prime) because their Greatest Common Factor is 1.