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    GCF (HCF) of 120 and 144

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 120 and 144?

    Answer

    GCF (HCF) of 120 and 144 is
    24

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

    24 divides both: 120 ÷ 24 = 5, 144 ÷ 24 = 6 — and 5 and 6 share no factor but 1, so no larger number divides both.

    120 = 23 × 3 × 5

    144 = 24 × 32

    Prime120144Lowest power
    2232423
    33323
    55——

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

    GCF = 23 × 3 = 24

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    What is the GCF (HCF) of 120 and 144. The GCF of 120 and 144 is 24 — 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
    1201293
    12013010
    1201311
    12013212
    1201331
    1201342
    12013515
    1201368
    1201371
    1201386
    1201391
    12014020
    1201413
    1201422
    1201431
    12014424
    1201455
    1201462
    1201473
    1201484
    1201491
    12015030
    1201511
    1201528
    1201533
    1201542
    1201555
    12015612
    1201571
    1201582

    FAQ

    What is the Greatest Common Divisor of 120 and 144?

    GCF (HCF) of 120 and 144 is 24

    How to find the GCF of 120 and 144?

    You can find the GCF of 120 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 120 and 144 is 24.

    What prime factors do 120 and 144 share?

    The prime factorizations of 120 and 144 have 2 × 2 × 2 × 3 in common, and multiplying those shared primes gives 24 — exactly the greatest common factor.

    How does the GCF reduce the fraction 120/144?

    Divide the numerator and the denominator by the GCF 24: 120 ÷ 24 = 5 and 144 ÷ 24 = 6. So 120/144 in lowest terms is 5/6.

    See Also