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    GCF (HCF) of 18 and 112

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 18 and 112?

    Answer

    GCF (HCF) of 18 and 112 is
    2

    Common factors: 1, 2

    2 divides both: 18 ÷ 2 = 9, 112 ÷ 2 = 56 — and 9 and 56 share no factor but 1, so no larger number divides both.

    18 = 2 × 32

    112 = 24 × 7

    Prime18112Lowest power
    22242
    332——
    7—7—

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

    GCF = 2

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    What is the GCF (HCF) of 18 and 112. The GCF of 18 and 112 is 2 — 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
    18462
    18486
    18491
    18502
    185418
    18551
    18562
    18582
    18591
    18606
    18639
    18642
    18666
    18702
    187218
    18753
    18786
    18802
    18819
    18846
    18882
    18966
    18999
    181002
    1810818
    181122
    181206
    181302
    182259
    182502

    FAQ

    What is the Greatest Common Divisor of 18 and 112?

    GCF (HCF) of 18 and 112 is 2

    How to find the GCF of 18 and 112?

    You can find the GCF of 18 and 112 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 18 and 112 is 2.

    What prime factors do 18 and 112 share?

    The prime factorizations of 18 and 112 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

    How does the GCF reduce the fraction 18/112?

    Divide the numerator and the denominator by the GCF 2: 18 ÷ 2 = 9 and 112 ÷ 2 = 56. So 18/112 in lowest terms is 9/56.

    See Also