GCF (HCF) of 66 and 121

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What is the Greatest Common Divisor of 66 and 121?

Answer

GCF (HCF) of 66 and 121 is
11

Common factors: 1, 11

11 divides both: 66 ÷ 11 = 6, 121 ÷ 11 = 11 — and 6 and 11 share no factor but 1, so no larger number divides both.

66 = 2 × 3 × 11

121 = 112

Prime66121Lowest power
22——
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
661062
661071
661086
661091
6611022
661113
661122
661131
661146
661151
661162
661173
661182
661191
661206
6612111
661222
661233
661242
661251
661266
661271
661282
661293
661302
661311
6613266
661331
661342
661353

FAQ

What is the Greatest Common Divisor of 66 and 121?

GCF (HCF) of 66 and 121 is 11

How to find the GCF of 66 and 121?

You can find the GCF of 66 and 121 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 66 and 121 is 11.

What prime factors do 66 and 121 share?

The prime factorizations of 66 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 66/121?

Divide the numerator and the denominator by the GCF 11: 66 ÷ 11 = 6 and 121 ÷ 11 = 11. So 66/121 in lowest terms is 6/11.

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