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GCF (HCF) of 11 and 33

"Greatest Common Factor" Calculator

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

Prime	11	33	Lowest power
3	—	3	—
11	11	11	11

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

GCF = 11

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 11 and 33. The GCF of 11 and 33 is 11 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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GCF Table

Number 1	Number 2	GCF
11	12	1
11	13	1
11	14	1
11	15	1
11	16	1
11	17	1
11	18	1
11	19	1
11	20	1
11	21	1
11	22	11
11	23	1
11	27	1
11	30	1
11	31	1
11	33	11
11	39	1
11	40	1
11	41	1
11	43	1
11	44	11
11	46	1
11	47	1
11	48	1
11	51	1
11	55	11
11	56	1
11	59	1
11	60	1
11	66	11

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.