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    GCF (HCF) of 75 and 85

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 75 and 85?

    Answer

    GCF (HCF) of 75 and 85 is
    5

    Common factors: 1, 5

    5 divides both: 75 ÷ 5 = 15, 85 ÷ 5 = 17 — and 15 and 17 share no factor but 1, so no larger number divides both.

    75 = 3 × 52

    85 = 5 × 17

    Prime7585Lowest power
    33——
    55255
    17—17—

    — = 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 85. The GCF of 75 and 85 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
    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
    75955
    75963
    75971
    75981
    75993

    FAQ

    What is the Greatest Common Divisor of 75 and 85?

    GCF (HCF) of 75 and 85 is 5

    How to find the GCF of 75 and 85?

    You can find the GCF of 75 and 85 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 75 and 85 is 5.

    What prime factors do 75 and 85 share?

    The prime factorizations of 75 and 85 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

    How does the GCF reduce the fraction 75/85?

    Divide the numerator and the denominator by the GCF 5: 75 ÷ 5 = 15 and 85 ÷ 5 = 17. So 75/85 in lowest terms is 15/17.

    See Also