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    GCF (HCF) of 80 and 112

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 80 and 112?

    Answer

    GCF (HCF) of 80 and 112 is
    16

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

    16 divides both: 80 ÷ 16 = 5, 112 ÷ 16 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.

    80 = 24 × 5

    112 = 24 × 7

    Prime80112Lowest power
    2242424
    55——
    7—7—

    — = 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 80 and 112. The GCF of 80 and 112 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
    802020
    80844
    809010
    809616
    8010020
    8011010
    8011216
    801155
    8012040
    801255
    8014020
    8014416
    801555
    801655
    8018020
    801855
    8019010
    8020040
    802155
    802255
    802655
    802755
    802855
    8030020
    8031010
    803255
    803555
    8036040
    8044040
    804555

    FAQ

    What is the Greatest Common Divisor of 80 and 112?

    GCF (HCF) of 80 and 112 is 16

    How to find the GCF of 80 and 112?

    You can find the GCF of 80 and 112 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 80 and 112 is 16.

    What prime factors do 80 and 112 share?

    The prime factorizations of 80 and 112 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 80/112?

    Divide the numerator and the denominator by the GCF 16: 80 ÷ 16 = 5 and 112 ÷ 16 = 7. So 80/112 in lowest terms is 5/7.

    See Also