GCF (HCF) of 11 and 31

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What is the Greatest Common Divisor of 11 and 31?

Answer

GCF (HCF) of 11 and 31 is
1

Common factors: 1

Only 1 divides both: 11 and 31 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 11 × 31 = 341.

11 — prime

31 — prime

Prime1131Lowest power
1111——
31—31—

— = 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 11 and 31?

GCF (HCF) of 11 and 31 is 1

How to find the GCF of 11 and 31?

You can find the GCF of 11 and 31 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 11 and 31 is 1.

What prime factors do 11 and 31 share?

11 and 31 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 11/31?

Divide the numerator and the denominator by the GCF 1: 11 ÷ 1 = 11 and 31 ÷ 1 = 31. So 11/31 in lowest terms is 11/31.

Are 11 and 31 coprime?

Yes, 11 and 31 are coprime (relatively prime) because their Greatest Common Factor is 1.