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    GCF (HCF) of 480 and 720

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 480 and 720?

    Answer

    GCF (HCF) of 480 and 720 is
    240

    Common factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, …, 20 in all

    240 divides both: 480 ÷ 240 = 2, 720 ÷ 240 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

    All 20 common factors

    1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

    480 = 25 × 3 × 5

    720 = 24 × 32 × 5

    Prime480720Lowest power
    2252424
    33323
    5555

    GCF = 24 × 3 × 5 = 240

    More with these numbers

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    What is the GCF (HCF) of 480 and 720. The GCF of 480 and 720 is 240 — 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
    48070515
    4807062
    4807071
    48070812
    4807091
    48071010
    4807113
    4807128
    4807131
    4807146
    4807155
    4807164
    4807173
    4807182
    4807191
    480720240
    4807211
    4807222
    4807233
    4807244
    4807255
    4807266
    4807271
    4807288
    4807293
    48073010
    4807311
    48073212
    4807331
    4807342

    FAQ

    What is the Greatest Common Divisor of 480 and 720?

    GCF (HCF) of 480 and 720 is 240

    How to find the GCF of 480 and 720?

    You can find the GCF of 480 and 720 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 480 and 720 is 240.

    What prime factors do 480 and 720 share?

    The prime factorizations of 480 and 720 have 2 × 2 × 2 × 2 × 3 × 5 in common, and multiplying those shared primes gives 240 — exactly the greatest common factor.

    How does the GCF reduce the fraction 480/720?

    Divide the numerator and the denominator by the GCF 240: 480 ÷ 240 = 2 and 720 ÷ 240 = 3. So 480/720 in lowest terms is 2/3.

    See Also