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    GCF (HCF) of 144 and 160

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 144 and 160?

    Answer

    GCF (HCF) of 144 and 160 is
    16

    Common factors: 1, 2, 4, 8, 16

    16 divides both: 144 ÷ 16 = 9, 160 ÷ 16 = 10 — and 9 and 10 share no factor but 1, so no larger number divides both.

    144 = 24 × 32

    160 = 25 × 5

    Prime144160Lowest power
    2242524
    332——
    5—5—

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

    GCF = 24 = 16

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    What is the GCF (HCF) of 144 and 160. The GCF of 144 and 160 is 16 — 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
    1441451
    1441462
    1441473
    1441484
    1441491
    1441506
    1441511
    1441528
    1441539
    1441542
    1441551
    14415612
    1441571
    1441582
    1441593
    14416016
    1441611
    14416218
    1441631
    1441644
    1441653
    1441662
    1441671
    14416824
    1441691
    1441702
    1441719
    1441724
    1441731
    1441746

    FAQ

    What is the Greatest Common Divisor of 144 and 160?

    GCF (HCF) of 144 and 160 is 16

    How to find the GCF of 144 and 160?

    You can find the GCF of 144 and 160 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 144 and 160 is 16.

    What prime factors do 144 and 160 share?

    The prime factorizations of 144 and 160 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.

    How does the GCF reduce the fraction 144/160?

    Divide the numerator and the denominator by the GCF 16: 144 ÷ 16 = 9 and 160 ÷ 16 = 10. So 144/160 in lowest terms is 9/10.

    See Also