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    GCF (HCF) of 90 and 315

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 90 and 315?

    Answer

    GCF (HCF) of 90 and 315 is
    45

    Common factors: 1, 3, 5, 9, 15, 45

    45 divides both: 90 ÷ 45 = 2, 315 ÷ 45 = 7 — and 2 and 7 share no factor but 1, so no larger number divides both.

    90 = 2 × 32 × 5

    315 = 32 × 5 × 7

    Prime90315Lowest power
    22——
    3323232
    5555
    7—7—

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

    GCF = 32 × 5 = 45

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    What is the GCF (HCF) of 90 and 315. The GCF of 90 and 315 is 45 — 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
    901855
    9020010
    9021030
    9022010
    902355
    902455
    9025010
    9025515
    902655
    9027090
    902755
    9029010
    902955
    903055
    9031010
    9031545
    9032010
    9033030
    903355
    9035010
    9036090
    903655
    9037010
    9037515
    903855
    903955
    9040010
    9040545
    9041010
    904255

    FAQ

    What is the Greatest Common Divisor of 90 and 315?

    GCF (HCF) of 90 and 315 is 45

    How to find the GCF of 90 and 315?

    You can find the GCF of 90 and 315 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 90 and 315 is 45.

    What prime factors do 90 and 315 share?

    The prime factorizations of 90 and 315 have 3 × 3 × 5 in common, and multiplying those shared primes gives 45 — exactly the greatest common factor.

    How does the GCF reduce the fraction 90/315?

    Divide the numerator and the denominator by the GCF 45: 90 ÷ 45 = 2 and 315 ÷ 45 = 7. So 90/315 in lowest terms is 2/7.

    See Also