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    GCF (HCF) of 75 and 297

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 75 and 297?

    Answer

    GCF (HCF) of 75 and 297 is
    3

    Common factors: 1, 3

    3 divides both: 75 ÷ 3 = 25, 297 ÷ 3 = 99 — and 25 and 99 share no factor but 1, so no larger number divides both.

    75 = 3 × 52

    297 = 33 × 11

    Prime75297Lowest power
    33333
    552——
    11—11—

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

    GCF = 3

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    What is the GCF (HCF) of 75 and 297. The GCF of 75 and 297 is 3 — 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
    752823
    752831
    752841
    7528515
    752861
    752871
    752883
    752891
    752905
    752913
    752921
    752931
    752943
    752955
    752961
    752973
    752981
    752991
    7530075
    753011
    753021
    753033
    753041
    753055
    753063
    753071
    753081
    753093
    753105
    753111

    FAQ

    What is the Greatest Common Divisor of 75 and 297?

    GCF (HCF) of 75 and 297 is 3

    How to find the GCF of 75 and 297?

    You can find the GCF of 75 and 297 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 75 and 297 is 3.

    What prime factors do 75 and 297 share?

    The prime factorizations of 75 and 297 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

    How does the GCF reduce the fraction 75/297?

    Divide the numerator and the denominator by the GCF 3: 75 ÷ 3 = 25 and 297 ÷ 3 = 99. So 75/297 in lowest terms is 25/99.

    See Also