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    GCF of 180 and 420 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 180 and 420?

    Answer

    GCF of 180 and 420 is
    60

    (Sixty)

    Finding GCF for 180 and 420 using all factors (divisors) listing

    The first method to find GCF for numbers 180 and 420 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 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

    So the Greatest Common Factor for 180 and 420 is 60

    Finding GCF for 180 and 420 by Prime Factorization

    The second method to find GCF for numbers 180 and 420 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 420: 2, 2, 3, 5, 7

    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 420. The GCF of 180 and 420 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
    18040545
    1804062
    1804071
    18040812
    1804091
    18041010
    1804113
    1804124
    1804131
    18041418
    1804155
    1804164
    1804173
    1804182
    1804191
    18042060
    1804211
    1804222
    1804239
    1804244
    1804255
    1804266
    1804271
    1804284
    1804293
    18043010
    1804311
    18043236
    1804331
    1804342

    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 420? (The answer is: 60). Select the first number (e.g. '180') and the second number (e.g. '420'). 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 420?

    GCF of 180 and 420 is 60

    How to find the GCF of 180 and 420?

    You can find the GCF of 180 and 420 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 420 is 60.

    What prime factors do 180 and 420 share?

    The prime factorizations of 180 and 420 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 180/420?

    Divide the numerator and the denominator by the GCF 60: 180 ÷ 60 = 3 and 420 ÷ 60 = 7. So 180/420 in lowest terms is 3/7.

    See Also