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    GCF (HCF) of 48 and 80

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 48 and 80?

    Answer

    GCF (HCF) of 48 and 80 is
    16

    Common factors: 1, 2, 4, 8, 16

    16 divides both: 48 ÷ 16 = 3, 80 ÷ 16 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

    48 = 24 × 3

    80 = 24 × 5

    Prime4880Lowest power
    2242424
    33——
    5—5—

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

    GCF = 24 = 16

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    What is the GCF (HCF) of 48 and 80. The GCF of 48 and 80 is 16 — 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
    481212
    483216
    483612
    48491
    48502
    48513
    48524
    48531
    48546
    48568
    48573
    48582
    48591
    486012
    486416
    48666
    487224
    48753
    488016
    48813
    488412
    48906
    489648
    48993
    481004
    4812024
    4812816
    4816824
    484506

    FAQ

    What is the Greatest Common Divisor of 48 and 80?

    GCF (HCF) of 48 and 80 is 16

    How to find the GCF of 48 and 80?

    You can find the GCF of 48 and 80 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 48 and 80 is 16.

    What prime factors do 48 and 80 share?

    The prime factorizations of 48 and 80 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.

    How does the GCF reduce the fraction 48/80?

    Divide the numerator and the denominator by the GCF 16: 48 ÷ 16 = 3 and 80 ÷ 16 = 5. So 48/80 in lowest terms is 3/5.

    See Also