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    GCF of 180 and 330 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 180 and 330?

    Answer

    GCF of 180 and 330 is
    30

    (Thirty)

    Finding GCF for 180 and 330 using all factors (divisors) listing

    The first method to find GCF for numbers 180 and 330 is to list all factors for both numbers and pick the highest common one:

    All factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

    All factors of 330: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

    So the Greatest Common Factor for 180 and 330 is 30

    Finding GCF for 180 and 330 by Prime Factorization

    The second method to find GCF for numbers 180 and 330 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 180: 2, 2, 3, 3, 5

    All Prime Factors of 330: 2, 3, 5, 11

    As we can see there are Prime Factors common to both numbers: 2, 3, 5

    Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

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    What is the GCF of 180 and 330. The GCF of 180 and 330 is 30 — 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
    18031545
    1803164
    1803171
    1803186
    1803191
    18032020
    1803213
    1803222
    1803231
    18032436
    1803255
    1803262
    1803273
    1803284
    1803291
    18033030
    1803311
    1803324
    1803339
    1803342
    1803355
    18033612
    1803371
    1803382
    1803393
    18034020
    1803411
    18034218
    1803431
    1803444

    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 180 and 330? (The answer is: 30). Select the first number (e.g. '180') and the second number (e.g. '330'). 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 180 and 330?

    GCF of 180 and 330 is 30

    How to find the GCF of 180 and 330?

    You can find the GCF of 180 and 330 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 330 is 30.

    What prime factors do 180 and 330 share?

    The prime factorizations of 180 and 330 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

    How does the GCF reduce the fraction 180/330?

    Divide the numerator and the denominator by the GCF 30: 180 ÷ 30 = 6 and 330 ÷ 30 = 11. So 180/330 in lowest terms is 6/11.

    See Also