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    GCF (HCF) of 108 and 144

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 108 and 144?

    Answer

    GCF (HCF) of 108 and 144 is
    36

    Common factors: 1, 2, 3, 4, 6, 9, 12, 18, 36

    36 divides both: 108 ÷ 36 = 3, 144 ÷ 36 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

    108 = 22 × 33

    144 = 24 × 32

    Prime108144Lowest power
    2222422
    3333232

    GCF = 22 × 32 = 36

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    What is the GCF (HCF) of 108 and 144. The GCF of 108 and 144 is 36 — 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
    1081293
    1081302
    1081311
    10813212
    1081331
    1081342
    10813527
    1081364
    1081371
    1081386
    1081391
    1081404
    1081413
    1081422
    1081431
    10814436
    1081451
    1081462
    1081473
    1081484
    1081491
    1081506
    1081511
    1081524
    1081539
    1081542
    1081551
    10815612
    1081571
    1081582

    FAQ

    What is the Greatest Common Divisor of 108 and 144?

    GCF (HCF) of 108 and 144 is 36

    How to find the GCF of 108 and 144?

    You can find the GCF of 108 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 144 is 36.

    What prime factors do 108 and 144 share?

    The prime factorizations of 108 and 144 have 2 × 2 × 3 × 3 in common, and multiplying those shared primes gives 36 — exactly the greatest common factor.

    How does the GCF reduce the fraction 108/144?

    Divide the numerator and the denominator by the GCF 36: 108 ÷ 36 = 3 and 144 ÷ 36 = 4. So 108/144 in lowest terms is 3/4.

    See Also