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    GCF for 36, 48 and 144

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

    What's the Greatest Common Factor (GCF) of 36, 48 and 144?

    Answer

    GCF of 36, 48 and 144 is
    12

    Common factors: 1, 2, 3, 4, 6, 12

    12 divides all three: 36 ÷ 12 = 3, 48 ÷ 12 = 4, 144 ÷ 12 = 12 — and 3, 4 and 12 have no factor but 1 common to all of them, so no larger number divides all three.

    36 = 22 × 32

    48 = 24 × 3

    144 = 24 × 32

    Prime3648144Lowest power
    222242422
    3323323

    GCF = 22 × 3 = 12

    See Also

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    https://calculat.io/en/number/greatest-common-factor-of-3-numbers/36--48--144Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of-3-numbers/36--48--144">What is the GCF of 36, 48 and 144? - Calculatio</a>Copy
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    What is the GCF of 36, 48 and 144? The GCF of 36, 48 and 144 is 12 — 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/36--48--144/generated.jpgCopy

    GCF Table

    1st2nd3rdGCF
    36481293
    36481302
    36481311
    364813212
    36481331
    36481342
    36481353
    36481364
    36481371
    36481386
    36481391
    36481404
    36481413
    36481422
    36481431
    364814412
    36481451
    36481462
    36481473
    36481484
    36481491
    36481506
    36481511
    36481524
    36481533
    36481542
    36481551
    364815612
    36481571
    36481582

    FAQ

    What's the Greatest Common Factor (GCF) of 36, 48 and 144?

    GCF of 36, 48 and 144 is 12

    What prime factors do 36, 48 and 144 share?

    All three factorizations contain 2 × 2 × 3, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    Can you get the GCF of 36, 48 and 144 two numbers at a time?

    Yes. The GCF of 36 and 48 is 12, and the GCF of 12 and 144 is 12 — 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 36 : 48 : 144?

    Divide every term by the GCF 12: 36 ÷ 12 = 3, 48 ÷ 12 = 4 and 144 ÷ 12 = 12. So 36 : 48 : 144 in lowest terms is 3 : 4 : 12, and no whole number other than 1 divides all three of those.