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    GCF of 18 and 33 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 18 and 33?

    Answer

    GCF of 18 and 33 is
    3

    (Three)

    Finding GCF for 18 and 33 using all factors (divisors) listing

    The first method to find GCF for numbers 18 and 33 is to list all factors for both numbers and pick the highest common one:

    All factors of 18: 1, 2, 3, 6, 9, 18

    All factors of 33: 1, 3, 11, 33

    So the Greatest Common Factor for 18 and 33 is 3

    Finding GCF for 18 and 33 by Prime Factorization

    The second method to find GCF for numbers 18 and 33 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 18: 2, 3, 3

    All Prime Factors of 33: 3, 11

    As we can see there is only one Prime Factor common to both numbers. It is 3

    So 3 is the Greatest Common Factor of 18 and 33

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    What is the GCF of 18 and 33. The GCF of 18 and 33 is 3 — 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
    18142
    18153
    18202
    18213
    18222
    18231
    18246
    18251
    18262
    18279
    18282
    18291
    18306
    18311
    18322
    18333
    18342
    18351
    183618
    18371
    18382
    18393
    18402
    18426
    18431
    18459
    18462
    18471
    18486
    18491

    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 18 and 33? (The answer is: 3). Select the first number (e.g. '18') and the second number (e.g. '33'). 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 18 and 33?

    GCF of 18 and 33 is 3

    How to find the GCF of 18 and 33?

    You can find the GCF of 18 and 33 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 18 and 33 is 3.

    What prime factors do 18 and 33 share?

    The prime factorizations of 18 and 33 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

    How does the GCF reduce the fraction 18/33?

    Divide the numerator and the denominator by the GCF 3: 18 ÷ 3 = 6 and 33 ÷ 3 = 11. So 18/33 in lowest terms is 6/11.

    See Also