GCF (HCF) of 165 and 231

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What is the Greatest Common Divisor of 165 and 231?

Answer

GCF (HCF) of 165 and 231 is
33

Common factors: 1, 3, 11, 33

33 divides both: 165 ÷ 33 = 5, 231 ÷ 33 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.

165 = 3 × 5 × 11

231 = 3 × 7 × 11

Prime165231Lowest power
3333
55——
7—7—
11111111

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

GCF = 3 × 11 = 33

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GCF Table

Number 1Number 2GCF
1652163
1652171
1652181
1652193
16522055
1652211
1652223
1652231
1652241
16522515
1652261
1652271
1652283
1652291
1652305
16523133
1652321
1652331
1652343
1652355
1652361
1652373
1652381
1652391
16524015
1652411
16524211
1652433
1652441
1652455

FAQ

What is the Greatest Common Divisor of 165 and 231?

GCF (HCF) of 165 and 231 is 33

How to find the GCF of 165 and 231?

You can find the GCF of 165 and 231 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 165 and 231 is 33.

What prime factors do 165 and 231 share?

The prime factorizations of 165 and 231 have 3 × 11 in common, and multiplying those shared primes gives 33 — exactly the greatest common factor.

How does the GCF reduce the fraction 165/231?

Divide the numerator and the denominator by the GCF 33: 165 ÷ 33 = 5 and 231 ÷ 33 = 7. So 165/231 in lowest terms is 5/7.

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