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    GCF (HCF) of 96 and 144

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 96 and 144?

    Answer

    GCF (HCF) of 96 and 144 is
    48

    Common factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

    48 divides both: 96 ÷ 48 = 2, 144 ÷ 48 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

    96 = 25 × 3

    144 = 24 × 32

    Prime96144Lowest power
    2252424
    33323

    GCF = 24 × 3 = 48

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    What is the GCF (HCF) of 96 and 144. The GCF of 96 and 144 is 48 — 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
    961293
    961302
    961311
    9613212
    961331
    961342
    961353
    961368
    961371
    961386
    961391
    961404
    961413
    961422
    961431
    9614448
    961451
    961462
    961473
    961484
    961491
    961506
    961511
    961528
    961533
    961542
    961551
    9615612
    961571
    961582

    FAQ

    What is the Greatest Common Divisor of 96 and 144?

    GCF (HCF) of 96 and 144 is 48

    How to find the GCF of 96 and 144?

    You can find the GCF of 96 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 96 and 144 is 48.

    What prime factors do 96 and 144 share?

    The prime factorizations of 96 and 144 have 2 × 2 × 2 × 2 × 3 in common, and multiplying those shared primes gives 48 — exactly the greatest common factor.

    How does the GCF reduce the fraction 96/144?

    Divide the numerator and the denominator by the GCF 48: 96 ÷ 48 = 2 and 144 ÷ 48 = 3. So 96/144 in lowest terms is 2/3.

    See Also