GCF (HCF) of 11 and 33

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What is the Greatest Common Divisor of 11 and 33?

Answer

GCF (HCF) of 11 and 33 is
11

Common factors: 1, 11

11 divides 33 (33 ÷ 11 = 3), so the GCF is the smaller number itself.

11 — prime

33 = 3 × 11

Prime1133Lowest power
3—3—
11111111

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 11

See Also

FAQ

What is the Greatest Common Divisor of 11 and 33?

GCF (HCF) of 11 and 33 is 11

How to find the GCF of 11 and 33?

You can find the GCF of 11 and 33 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 11 and 33 is 11.

What prime factors do 11 and 33 share?

The prime factorizations of 11 and 33 have 11 in common, and multiplying those shared primes gives 11 — exactly the greatest common factor.

How does the GCF reduce the fraction 11/33?

Divide the numerator and the denominator by the GCF 11: 11 ÷ 11 = 1 and 33 ÷ 11 = 3. So 11/33 in lowest terms is 1/3.