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    GCF (HCF) of 165 and 231

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    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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    What is the GCF (HCF) of 165 and 231. The GCF of 165 and 231 is 33 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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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.