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    GCF (HCF) of 180 and 600

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 180 and 600?

    Answer

    GCF (HCF) of 180 and 600 is
    60

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

    60 divides both: 180 ÷ 60 = 3, 600 ÷ 60 = 10 — and 3 and 10 share no factor but 1, so no larger number divides both.

    180 = 22 × 32 × 5

    600 = 23 × 3 × 52

    Prime180600Lowest power
    2222322
    33233
    55525

    GCF = 22 × 3 × 5 = 60

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    What is the GCF (HCF) of 180 and 600. The GCF of 180 and 600 is 60 — 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
    18058545
    1805862
    1805871
    18058812
    1805891
    18059010
    1805913
    1805924
    1805931
    18059418
    1805955
    1805964
    1805973
    1805982
    1805991
    18060060
    1806011
    1806022
    1806039
    1806044
    1806055
    1806066
    1806071
    1806084
    1806093
    18061010
    1806111
    18061236
    1806131
    1806142

    FAQ

    What is the Greatest Common Divisor of 180 and 600?

    GCF (HCF) of 180 and 600 is 60

    How to find the GCF of 180 and 600?

    You can find the GCF of 180 and 600 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 600 is 60.

    What prime factors do 180 and 600 share?

    The prime factorizations of 180 and 600 have 2 × 2 × 3 × 5 in common, and multiplying those shared primes gives 60 — exactly the greatest common factor.

    How does the GCF reduce the fraction 180/600?

    Divide the numerator and the denominator by the GCF 60: 180 ÷ 60 = 3 and 600 ÷ 60 = 10. So 180/600 in lowest terms is 3/10.

    See Also