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    GCF (HCF) of 175 and 400

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 175 and 400?

    Answer

    GCF (HCF) of 175 and 400 is
    25

    Common factors: 1, 5, 25

    25 divides both: 175 ÷ 25 = 7, 400 ÷ 25 = 16 — and 7 and 16 share no factor but 1, so no larger number divides both.

    175 = 52 × 7

    400 = 24 × 52

    Prime175400Lowest power
    2—24—
    5525252
    77——

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

    GCF = 52 = 25

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    What is the GCF (HCF) of 175 and 400. The GCF of 175 and 400 is 25 — 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
    17538535
    1753861
    1753871
    1753881
    1753891
    1753905
    1753911
    1753927
    1753931
    1753941
    1753955
    1753961
    1753971
    1753981
    1753997
    17540025
    1754011
    1754021
    1754031
    1754041
    1754055
    1754067
    1754071
    1754081
    1754091
    1754105
    1754111
    1754121
    1754137
    1754141

    FAQ

    What is the Greatest Common Divisor of 175 and 400?

    GCF (HCF) of 175 and 400 is 25

    How to find the GCF of 175 and 400?

    You can find the GCF of 175 and 400 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 175 and 400 is 25.

    What prime factors do 175 and 400 share?

    The prime factorizations of 175 and 400 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

    How does the GCF reduce the fraction 175/400?

    Divide the numerator and the denominator by the GCF 25: 175 ÷ 25 = 7 and 400 ÷ 25 = 16. So 175/400 in lowest terms is 7/16.

    See Also