Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    GCF of 18 and 120 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 18 and 120?

    Answer

    GCF of 18 and 120 is
    6

    (Six)

    Finding GCF for 18 and 120 using all factors (divisors) listing

    The first method to find GCF for numbers 18 and 120 is to list all factors for both numbers and pick the highest common one:

    All factors of 18: 1, 2, 3, 6, 9, 18

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

    So the Greatest Common Factor for 18 and 120 is 6

    Finding GCF for 18 and 120 by Prime Factorization

    The second method to find GCF for numbers 18 and 120 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 18: 2, 3, 3

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

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

    Now we need to multiply them to find GCF: 2 × 3 = 6

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of/18--120Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of/18--120">What is the GCF of 18 and 120 - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF of 18 and 120. The GCF of 18 and 120 is 6 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
    https://calculat.io/en/number/greatest-common-factor-of/18--120/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    18502
    18513
    185418
    18551
    18562
    18573
    18582
    18591
    18606
    18639
    18642
    18666
    18702
    187218
    18753
    18786
    18802
    18819
    18846
    18882
    189018
    18966
    18999
    181002
    1810818
    181122
    181206
    181302
    182259
    182502

    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 18 and 120? (The answer is: 6). Select the first number (e.g. '18') and the second number (e.g. '120'). 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 18 and 120?

    GCF of 18 and 120 is 6

    How to find the GCF of 18 and 120?

    You can find the GCF of 18 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 18 and 120 is 6.

    What prime factors do 18 and 120 share?

    The prime factorizations of 18 and 120 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

    How does the GCF reduce the fraction 18/120?

    Divide the numerator and the denominator by the GCF 6: 18 ÷ 6 = 3 and 120 ÷ 6 = 20. So 18/120 in lowest terms is 3/20.

    See Also