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    GCF of 150 and 180 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 150 and 180?

    Answer

    GCF of 150 and 180 is
    30

    (Thirty)

    Finding GCF for 150 and 180 using all factors (divisors) listing

    The first method to find GCF for numbers 150 and 180 is to list all factors for both numbers and pick the highest common one:

    All factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

    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 150 and 180 is 30

    Finding GCF for 150 and 180 by Prime Factorization

    The second method to find GCF for numbers 150 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 150: 2, 3, 5, 5

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

    As we can see there are Prime Factors common to both numbers: 2, 3, 5

    Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

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    What is the GCF of 150 and 180. The GCF of 150 and 180 is 30 — 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
    15016515
    1501662
    1501671
    1501686
    1501691
    15017010
    1501713
    1501722
    1501731
    1501746
    15017525
    1501762
    1501773
    1501782
    1501791
    15018030
    1501811
    1501822
    1501833
    1501842
    1501855
    1501866
    1501871
    1501882
    1501893
    15019010
    1501911
    1501926
    1501931
    1501942

    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 150 and 180? (The answer is: 30). Select the first number (e.g. '150') 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 150 and 180?

    GCF of 150 and 180 is 30

    How to find the GCF of 150 and 180?

    You can find the GCF of 150 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 150 and 180 is 30.

    What prime factors do 150 and 180 share?

    The prime factorizations of 150 and 180 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

    How does the GCF reduce the fraction 150/180?

    Divide the numerator and the denominator by the GCF 30: 150 ÷ 30 = 5 and 180 ÷ 30 = 6. So 150/180 in lowest terms is 5/6.

    See Also