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    GCF of 54 and 18 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 54 and 18?

    Answer

    GCF of 54 and 18 is
    18

    (Eighteen)

    Finding GCF for 54 and 18 using all factors (divisors) listing

    The first method to find GCF for numbers 54 and 18 is to list all factors for both numbers and pick the highest common one:

    All factors of 54: 1, 2, 3, 6, 9, 18, 27, 54

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

    So the Greatest Common Factor for 54 and 18 is 18

    Finding GCF for 54 and 18 by Prime Factorization

    The second method to find GCF for numbers 54 and 18 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 54: 2, 3, 3, 3

    All Prime Factors of 18: 2, 3, 3

    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 54 and 18. The GCF of 54 and 18 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
    5433
    5442
    5451
    5466
    5471
    5482
    5499
    54102
    54111
    54126
    54131
    54142
    54153
    54162
    54171
    541818
    54191
    54202
    54213
    54222
    54231
    54246
    54251
    54262
    542727
    54282
    54291
    54306
    54311
    54322

    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 54 and 18? (The answer is: 18). Select the first number (e.g. '54') and the second number (e.g. '18'). 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 54 and 18?

    GCF of 54 and 18 is 18

    How to find the GCF of 54 and 18?

    You can find the GCF of 54 and 18 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 18 is 18.

    What prime factors do 54 and 18 share?

    The prime factorizations of 54 and 18 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 54/18?

    Divide the numerator and the denominator by the GCF 18: 54 ÷ 18 = 3 and 18 ÷ 18 = 1. So 54/18 in lowest terms is 3/1.

    See Also