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    GCF (HCF) of 75 and 80

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 75 and 80?

    Answer

    GCF (HCF) of 75 and 80 is
    5

    Common factors: 1, 5

    5 divides both: 75 ÷ 5 = 15, 80 ÷ 5 = 16 — and 15 and 16 share no factor but 1, so no larger number divides both.

    75 = 3 × 52

    80 = 24 × 5

    Prime7580Lowest power
    2—24—
    33——
    55255

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

    GCF = 5

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    What is the GCF (HCF) of 75 and 80. The GCF of 75 and 80 is 5 — 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
    75655
    75663
    75671
    75681
    75693
    75705
    75711
    75723
    75731
    75741
    757575
    75761
    75771
    75783
    75791
    75805
    75813
    75821
    75831
    75843
    75855
    75861
    75873
    75881
    75891
    759015
    75911
    75921
    75933
    75941

    FAQ

    What is the Greatest Common Divisor of 75 and 80?

    GCF (HCF) of 75 and 80 is 5

    How to find the GCF of 75 and 80?

    You can find the GCF of 75 and 80 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 75 and 80 is 5.

    What prime factors do 75 and 80 share?

    The prime factorizations of 75 and 80 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

    How does the GCF reduce the fraction 75/80?

    Divide the numerator and the denominator by the GCF 5: 75 ÷ 5 = 15 and 80 ÷ 5 = 16. So 75/80 in lowest terms is 15/16.

    See Also