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    GCF of 180 and 240 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 180 and 240?

    Answer

    GCF of 180 and 240 is
    60

    (Sixty)

    Finding GCF for 180 and 240 using all factors (divisors) listing

    The first method to find GCF for numbers 180 and 240 is to list all factors for both numbers and pick the highest common one:

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

    All factors of 240: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

    So the Greatest Common Factor for 180 and 240 is 60

    Finding GCF for 180 and 240 by Prime Factorization

    The second method to find GCF for numbers 180 and 240 is to list all Prime Factors for both numbers and multiply the common ones:

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

    All Prime Factors of 240: 2, 2, 2, 2, 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

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    What is the GCF of 180 and 240. The GCF of 180 and 240 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
    18022545
    1802262
    1802271
    18022812
    1802291
    18023010
    1802313
    1802324
    1802331
    18023418
    1802355
    1802364
    1802373
    1802382
    1802391
    18024060
    1802411
    1802422
    1802439
    1802444
    1802455
    1802466
    1802471
    1802484
    1802493
    18025010
    1802511
    18025236
    1802531
    1802542

    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 180 and 240? (The answer is: 60). Select the first number (e.g. '180') and the second number (e.g. '240'). 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 180 and 240?

    GCF of 180 and 240 is 60

    How to find the GCF of 180 and 240?

    You can find the GCF of 180 and 240 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 240 is 60.

    What prime factors do 180 and 240 share?

    The prime factorizations of 180 and 240 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 180/240?

    Divide the numerator and the denominator by the GCF 60: 180 ÷ 60 = 3 and 240 ÷ 60 = 4. So 180/240 in lowest terms is 3/4.

    See Also