GCF (HCF) of 33 and 121

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What is the Greatest Common Divisor of 33 and 121?

Answer

GCF (HCF) of 33 and 121 is
11

Common factors: 1, 11

11 divides both: 33 ÷ 11 = 3, 121 ÷ 11 = 11 — and 3 and 11 share no factor but 1, so no larger number divides both.

33 = 3 × 11

121 = 112

Prime33121Lowest power
33——
111111211

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

GCF = 11

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GCF Table

Number 1Number 2GCF
33363
33371
33393
33401
33423
334411
33453
33461
33471
33491
33513
33543
335511
33561
33573
33603
337711
3312111

FAQ

What is the Greatest Common Divisor of 33 and 121?

GCF (HCF) of 33 and 121 is 11

How to find the GCF of 33 and 121?

You can find the GCF of 33 and 121 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 33 and 121 is 11.

What prime factors do 33 and 121 share?

The prime factorizations of 33 and 121 have 11 in common, and multiplying those shared primes gives 11 — exactly the greatest common factor.

How does the GCF reduce the fraction 33/121?

Divide the numerator and the denominator by the GCF 11: 33 ÷ 11 = 3 and 121 ÷ 11 = 11. So 33/121 in lowest terms is 3/11.

See Also