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    GCF (HCF) of 135 and 180

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 135 and 180?

    Answer

    GCF (HCF) of 135 and 180 is
    45

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

    45 divides both: 135 ÷ 45 = 3, 180 ÷ 45 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

    135 = 33 × 5

    180 = 22 × 32 × 5

    Prime135180Lowest power
    2—22—
    3333232
    5555

    — = 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 135 and 180. The GCF of 135 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
    13516515
    1351661
    1351671
    1351683
    1351691
    1351705
    1351719
    1351721
    1351731
    1351743
    1351755
    1351761
    1351773
    1351781
    1351791
    13518045
    1351811
    1351821
    1351833
    1351841
    1351855
    1351863
    1351871
    1351881
    13518927
    1351905
    1351911
    1351923
    1351931
    1351941

    FAQ

    What is the Greatest Common Divisor of 135 and 180?

    GCF (HCF) of 135 and 180 is 45

    How to find the GCF of 135 and 180?

    You can find the GCF of 135 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 135 and 180 is 45.

    What prime factors do 135 and 180 share?

    The prime factorizations of 135 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 135/180?

    Divide the numerator and the denominator by the GCF 45: 135 ÷ 45 = 3 and 180 ÷ 45 = 4. So 135/180 in lowest terms is 3/4.

    See Also