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    GCF (HCF) of 90 and 400

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 90 and 400?

    Answer

    GCF (HCF) of 90 and 400 is
    10

    Common factors: 1, 2, 5, 10

    10 divides both: 90 ÷ 10 = 9, 400 ÷ 10 = 40 — and 9 and 40 share no factor but 1, so no larger number divides both.

    90 = 2 × 32 × 5

    400 = 24 × 52

    Prime90400Lowest power
    22242
    332——
    55525

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

    GCF = 2 × 5 = 10

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    What is the GCF (HCF) of 90 and 400. The GCF of 90 and 400 is 10 — 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
    902655
    9027090
    902755
    9029010
    902955
    903055
    9031010
    9031545
    9032010
    9033030
    903355
    9035010
    9036090
    903655
    9037010
    9037515
    903855
    903955
    9040010
    9040545
    9041010
    904255
    9044010
    904555
    9046010
    9046515
    9048030
    904855
    9049545
    9050010

    FAQ

    What is the Greatest Common Divisor of 90 and 400?

    GCF (HCF) of 90 and 400 is 10

    How to find the GCF of 90 and 400?

    You can find the GCF of 90 and 400 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 400 is 10.

    What prime factors do 90 and 400 share?

    The prime factorizations of 90 and 400 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

    How does the GCF reduce the fraction 90/400?

    Divide the numerator and the denominator by the GCF 10: 90 ÷ 10 = 9 and 400 ÷ 10 = 40. So 90/400 in lowest terms is 9/40.

    See Also