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    GCF (HCF) of 75 and 90

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 75 and 90?

    Answer

    GCF (HCF) of 75 and 90 is
    15

    Common factors: 1, 3, 5, 15

    15 divides both: 75 ÷ 15 = 5, 90 ÷ 15 = 6 — and 5 and 6 share no factor but 1, so no larger number divides both.

    75 = 3 × 52

    90 = 2 × 32 × 5

    Prime7590Lowest power
    2—2—
    33323
    55255

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

    GCF = 3 × 5 = 15

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    What is the GCF (HCF) of 75 and 90. The GCF of 75 and 90 is 15 — 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
    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
    7510025
    751011
    751023
    751031
    751041

    FAQ

    What is the Greatest Common Divisor of 75 and 90?

    GCF (HCF) of 75 and 90 is 15

    How to find the GCF of 75 and 90?

    You can find the GCF of 75 and 90 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 75 and 90 is 15.

    What prime factors do 75 and 90 share?

    The prime factorizations of 75 and 90 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

    How does the GCF reduce the fraction 75/90?

    Divide the numerator and the denominator by the GCF 15: 75 ÷ 15 = 5 and 90 ÷ 15 = 6. So 75/90 in lowest terms is 5/6.

    See Also