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    GCF of 165 and 231 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 165 and 231?

    Answer

    GCF of 165 and 231 is
    33

    (Thirty-three)

    Finding GCF for 165 and 231 using all factors (divisors) listing

    The first method to find GCF for numbers 165 and 231 is to list all factors for both numbers and pick the highest common one:

    All factors of 165: 1, 3, 5, 11, 15, 33, 55, 165

    All factors of 231: 1, 3, 7, 11, 21, 33, 77, 231

    So the Greatest Common Factor for 165 and 231 is 33

    Finding GCF for 165 and 231 by Prime Factorization

    The second method to find GCF for numbers 165 and 231 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 165: 3, 5, 11

    All Prime Factors of 231: 3, 7, 11

    As we can see there are Prime Factors common to both numbers: 3, 11

    Now we need to multiply them to find GCF: 3 × 11 = 33

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    What is the GCF 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

    About "Greatest Common Factor" Calculator

    This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 165 and 231? (The answer is: 33). Select the first number (e.g. '165') and the second number (e.g. '231'). After that hit the 'Calculate' button.
    Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    FAQ

    What is the Greatest Common Divisor of 165 and 231?

    GCF 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.

    See Also