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    GCF of 135 and 180 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 135 and 180?

    Answer

    GCF of 135 and 180 is
    45

    (Forty-five)

    Finding GCF for 135 and 180 using all factors (divisors) listing

    The first method to find GCF for numbers 135 and 180 is to list all factors for both numbers and pick the highest common one:

    All factors of 135: 1, 3, 5, 9, 15, 27, 45, 135

    All factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

    So the Greatest Common Factor for 135 and 180 is 45

    Finding GCF for 135 and 180 by Prime Factorization

    The second method to find GCF for numbers 135 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 135: 3, 3, 3, 5

    All Prime Factors of 180: 2, 2, 3, 3, 5

    As we can see there are Prime Factors common to both numbers: 3, 3, 5

    Now we need to multiply them to find GCF: 3 × 3 × 5 = 45

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    What is the GCF 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

    About "Greatest Common Factor" Calculator

    This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 135 and 180? (The answer is: 45). Select the first number (e.g. '135') and the second number (e.g. '180'). After that hit the 'Calculate' button.
    Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    FAQ

    What is the Greatest Common Divisor of 135 and 180?

    GCF 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