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    GCF (HCF) of 375 and 600

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 375 and 600?

    Answer

    GCF (HCF) of 375 and 600 is
    75

    Common factors: 1, 3, 5, 15, 25, 75

    75 divides both: 375 ÷ 75 = 5, 600 ÷ 75 = 8 — and 5 and 8 share no factor but 1, so no larger number divides both.

    375 = 3 × 53

    600 = 23 × 3 × 52

    Prime375600Lowest power
    2—23—
    3333
    5535252

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

    GCF = 3 × 52 = 75

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    What is the GCF (HCF) of 375 and 600. The GCF of 375 and 600 is 75 — 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
    37558515
    3755861
    3755871
    3755883
    3755891
    3755905
    3755913
    3755921
    3755931
    3755943
    3755955
    3755961
    3755973
    3755981
    3755991
    37560075
    3756011
    3756021
    3756033
    3756041
    3756055
    3756063
    3756071
    3756081
    3756093
    3756105
    3756111
    3756123
    3756131
    3756141

    FAQ

    What is the Greatest Common Divisor of 375 and 600?

    GCF (HCF) of 375 and 600 is 75

    How to find the GCF of 375 and 600?

    You can find the GCF of 375 and 600 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 375 and 600 is 75.

    What prime factors do 375 and 600 share?

    The prime factorizations of 375 and 600 have 3 × 5 × 5 in common, and multiplying those shared primes gives 75 — exactly the greatest common factor.

    How does the GCF reduce the fraction 375/600?

    Divide the numerator and the denominator by the GCF 75: 375 ÷ 75 = 5 and 600 ÷ 75 = 8. So 375/600 in lowest terms is 5/8.

    See Also