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    GCF of 18 and 90 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 18 and 90?

    Answer

    GCF of 18 and 90 is
    18

    (Eighteen)

    Finding GCF for 18 and 90 using all factors (divisors) listing

    The first method to find GCF for numbers 18 and 90 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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

    So the Greatest Common Factor for 18 and 90 is 18

    Finding GCF for 18 and 90 by Prime Factorization

    The second method to find GCF for numbers 18 and 90 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 90: 2, 3, 3, 5

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

    Now we need to multiply them to find GCF: 2 × 3 × 3 = 18

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    What is the GCF of 18 and 90. The GCF of 18 and 90 is 18 — 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
    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 90? (The answer is: 18). Select the first number (e.g. '18') and the second number (e.g. '90'). 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 90?

    GCF of 18 and 90 is 18

    How to find the GCF of 18 and 90?

    You can find the GCF of 18 and 90 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 18 and 90 is 18.

    What prime factors do 18 and 90 share?

    The prime factorizations of 18 and 90 have 2 × 3 × 3 in common, and multiplying those shared primes gives 18 — exactly the greatest common factor.

    How does the GCF reduce the fraction 18/90?

    Divide the numerator and the denominator by the GCF 18: 18 ÷ 18 = 1 and 90 ÷ 18 = 5. So 18/90 in lowest terms is 1/5.

    See Also