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    GCF of 33 and 60 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 33 and 60?

    Answer

    GCF of 33 and 60 is
    3

    (Three)

    Finding GCF for 33 and 60 using all factors (divisors) listing

    The first method to find GCF for numbers 33 and 60 is to list all factors for both numbers and pick the highest common one:

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

    All factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

    So the Greatest Common Factor for 33 and 60 is 3

    Finding GCF for 33 and 60 by Prime Factorization

    The second method to find GCF for numbers 33 and 60 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 33: 3, 11

    All Prime Factors of 60: 2, 2, 3, 5

    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 33 and 60

    See Also

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    What is the GCF of 33 and 60. The GCF of 33 and 60 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
    33363
    33371
    33393
    33401
    33423
    33431
    334411
    33453
    33461
    33471
    33491
    33513
    33531
    33543
    335511
    33561
    33573
    33603
    337711

    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 33 and 60? (The answer is: 3). Select the first number (e.g. '33') and the second number (e.g. '60'). 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 33 and 60?

    GCF of 33 and 60 is 3

    How to find the GCF of 33 and 60?

    You can find the GCF of 33 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 33 and 60 is 3.

    What prime factors do 33 and 60 share?

    The prime factorizations of 33 and 60 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

    How does the GCF reduce the fraction 33/60?

    Divide the numerator and the denominator by the GCF 3: 33 ÷ 3 = 11 and 60 ÷ 3 = 20. So 33/60 in lowest terms is 11/20.