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    GCF (HCF) of 360 and 585

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 360 and 585?

    Answer

    GCF (HCF) of 360 and 585 is
    45

    Common factors: 1, 3, 5, 9, 15, 45

    45 divides both: 360 ÷ 45 = 8, 585 ÷ 45 = 13 — and 8 and 13 share no factor but 1, so no larger number divides both.

    360 = 23 × 32 × 5

    585 = 32 × 5 × 13

    Prime360585Lowest power
    223——
    3323232
    5555
    13—13—

    — = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

    GCF = 32 × 5 = 45

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    What is the GCF (HCF) 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

    FAQ

    What is the Greatest Common Divisor of 360 and 585?

    GCF (HCF) 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