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    GCF of 360 and 585 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 360 and 585?

    Answer

    GCF of 360 and 585 is
    45

    (Forty-five)

    Finding GCF for 360 and 585 using all factors (divisors) listing

    The first method to find GCF for numbers 360 and 585 is to list all factors for both numbers and pick the highest common one:

    All factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

    All factors of 585: 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

    So the Greatest Common Factor for 360 and 585 is 45

    Finding GCF for 360 and 585 by Prime Factorization

    The second method to find GCF for numbers 360 and 585 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 360: 2, 2, 2, 3, 3, 5

    All Prime Factors of 585: 3, 3, 5, 13

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

    Now we need to multiply them to find GCF: 3 × 3 × 5 = 45

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    What is the GCF of 360 and 585. The GCF of 360 and 585 is 45 — 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
    36057030
    3605711
    3605724
    3605733
    3605742
    3605755
    36057672
    3605771
    3605782
    3605793
    36058020
    3605811
    3605826
    3605831
    3605848
    36058545
    3605862
    3605871
    36058812
    3605891
    36059010
    3605913
    3605928
    3605931
    36059418
    3605955
    3605964
    3605973
    3605982
    3605991

    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 360 and 585? (The answer is: 45). Select the first number (e.g. '360') and the second number (e.g. '585'). 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 360 and 585?

    GCF of 360 and 585 is 45

    How to find the GCF of 360 and 585?

    You can find the GCF of 360 and 585 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 360 and 585 is 45.

    What prime factors do 360 and 585 share?

    The prime factorizations of 360 and 585 have 3 × 3 × 5 in common, and multiplying those shared primes gives 45 — exactly the greatest common factor.

    How does the GCF reduce the fraction 360/585?

    Divide the numerator and the denominator by the GCF 45: 360 ÷ 45 = 8 and 585 ÷ 45 = 13. So 360/585 in lowest terms is 8/13.

    See Also