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    GCF of 120 and 180 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 120 and 180?

    Answer

    GCF of 120 and 180 is
    60

    (Sixty)

    Finding GCF for 120 and 180 using all factors (divisors) listing

    The first method to find GCF for numbers 120 and 180 is to list all factors for both numbers and pick the highest common one:

    All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

    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 120 and 180 is 60

    Finding GCF for 120 and 180 by Prime Factorization

    The second method to find GCF for numbers 120 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 120: 2, 2, 2, 3, 5

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

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

    Now we need to multiply them to find GCF: 2 × 2 × 3 × 5 = 60

    Related Calculations

    See Also

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    What is the GCF of 120 and 180. The GCF of 120 and 180 is 60 — 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
    12016515
    1201662
    1201671
    12016824
    1201691
    12017010
    1201713
    1201724
    1201731
    1201746
    1201755
    1201768
    1201773
    1201782
    1201791
    12018060
    1201811
    1201822
    1201833
    1201848
    1201855
    1201866
    1201871
    1201884
    1201893
    12019010
    1201911
    12019224
    1201931
    1201942

    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 120 and 180? (The answer is: 60). Select the first number (e.g. '120') 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 120 and 180?

    GCF of 120 and 180 is 60

    How to find the GCF of 120 and 180?

    You can find the GCF of 120 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 120 and 180 is 60.

    What prime factors do 120 and 180 share?

    The prime factorizations of 120 and 180 have 2 × 2 × 3 × 5 in common, and multiplying those shared primes gives 60 — exactly the greatest common factor.

    How does the GCF reduce the fraction 120/180?

    Divide the numerator and the denominator by the GCF 60: 120 ÷ 60 = 2 and 180 ÷ 60 = 3. So 120/180 in lowest terms is 2/3.

    See Also