GCF (HCF) of 13 and 29

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What is the Greatest Common Divisor of 13 and 29?

Answer

GCF (HCF) of 13 and 29 is
1

Common factors: 1

Only 1 divides both: 13 and 29 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 13 × 29 = 377.

13 — prime

29 — prime

Prime1329Lowest power
1313——
29—29—

— = 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 13 and 29?

GCF (HCF) of 13 and 29 is 1

How to find the GCF of 13 and 29?

You can find the GCF of 13 and 29 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 13 and 29 is 1.

What prime factors do 13 and 29 share?

13 and 29 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 13/29?

Divide the numerator and the denominator by the GCF 1: 13 ÷ 1 = 13 and 29 ÷ 1 = 29. So 13/29 in lowest terms is 13/29.

Are 13 and 29 coprime?

Yes, 13 and 29 are coprime (relatively prime) because their Greatest Common Factor is 1.