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    GCF for 18, 36 and 45

    "Greatest Common Factor of 3 Numbers" Calculator
    Greatest Common Factor of
    ,
    and

    What's the Greatest Common Factor (GCF) of 18, 36 and 45?

    Answer

    GCF of 18, 36 and 45 is
    9

    Common factors: 1, 3, 9

    9 divides all three: 18 ÷ 9 = 2, 36 ÷ 9 = 4, 45 ÷ 9 = 5 — and 2, 4 and 5 have no factor but 1 common to all of them, so no larger number divides all three.

    18 = 2 × 32

    36 = 22 × 32

    45 = 32 × 5

    Prime183645Lowest power
    2222——
    332323232
    5——5—

    — = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

    GCF = 32 = 9

    More with these numbers

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    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/18--36--45Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/18--36--45">What is the GCF of 18, 36 and 45? - Calculatio</a>Copy
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    What is the GCF of 18, 36 and 45? The GCF of 18, 36 and 45 is 9 — the largest number that divides all three with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/18--36--45/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    1830366
    1831361
    1832362
    1833363
    1834362
    1835361
    18363618
    1836371
    1836382
    1836393
    1836402
    1836411
    1836426
    1836431
    1836442
    1836459
    1836462
    1836471
    1836486
    1836491
    1836502
    1836513
    1836522
    1836531
    18365418
    1836551
    1836562
    1836573
    1836582
    1836591

    FAQ

    What's the Greatest Common Factor (GCF) of 18, 36 and 45?

    GCF of 18, 36 and 45 is 9

    What prime factors do 18, 36 and 45 share?

    All three factorizations contain 3 × 3, and multiplying those shared primes gives 9 — exactly the greatest common factor.

    Can you get the GCF of 18, 36 and 45 two numbers at a time?

    Yes. The GCF of 18 and 36 is 18, and the GCF of 18 and 45 is 9 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.

    How does the GCF simplify the ratio 18 : 36 : 45?

    Divide every term by the GCF 9: 18 ÷ 9 = 2, 36 ÷ 9 = 4 and 45 ÷ 9 = 5. So 18 : 36 : 45 in lowest terms is 2 : 4 : 5, and no whole number other than 1 divides all three of those.

    See Also