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    GCF (HCF) of 315 and 180

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 315 and 180?

    Answer

    GCF (HCF) of 315 and 180 is
    45

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

    45 divides both: 315 ÷ 45 = 7, 180 ÷ 45 = 4 — and 7 and 4 share no factor but 1, so no larger number divides both.

    315 = 32 × 5 × 7

    180 = 22 × 32 × 5

    Prime315180Lowest power
    2—22—
    3323232
    5555
    77——

    — = 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 315 and 180. The GCF of 315 and 180 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
    31516515
    3151661
    3151671
    31516821
    3151691
    3151705
    3151719
    3151721
    3151731
    3151743
    31517535
    3151761
    3151773
    3151781
    3151791
    31518045
    3151811
    3151827
    3151833
    3151841
    3151855
    3151863
    3151871
    3151881
    31518963
    3151905
    3151911
    3151923
    3151931
    3151941

    FAQ

    What is the Greatest Common Divisor of 315 and 180?

    GCF (HCF) of 315 and 180 is 45

    How to find the GCF of 315 and 180?

    You can find the GCF of 315 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 315 and 180 is 45.

    What prime factors do 315 and 180 share?

    The prime factorizations of 315 and 180 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 315/180?

    Divide the numerator and the denominator by the GCF 45: 315 ÷ 45 = 7 and 180 ÷ 45 = 4. So 315/180 in lowest terms is 7/4.

    See Also