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    GCF (HCF) of 112 and 128

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 112 and 128?

    Answer

    GCF (HCF) of 112 and 128 is
    16

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

    16 divides both: 112 ÷ 16 = 7, 128 ÷ 16 = 8 — and 7 and 8 share no factor but 1, so no larger number divides both.

    112 = 24 × 7

    128 = 27

    Prime112128Lowest power
    2242724
    77——

    — = 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 112 and 128. The GCF of 112 and 128 is 16 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
    https://calculat.io/en/number/greatest-common-factor-of/112--128/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    1121131
    1121142
    1121151
    1121164
    1121171
    1121182
    1121197
    1121208
    1121211
    1121222
    1121231
    1121244
    1121251
    11212614
    1121271
    11212816
    1121291
    1121302
    1121311
    1121324
    1121337
    1121342
    1121351
    1121368
    1121371
    1121382
    1121391
    11214028
    1121411
    1121422

    FAQ

    What is the Greatest Common Divisor of 112 and 128?

    GCF (HCF) of 112 and 128 is 16

    How to find the GCF of 112 and 128?

    You can find the GCF of 112 and 128 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 112 and 128 is 16.

    What prime factors do 112 and 128 share?

    The prime factorizations of 112 and 128 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 112/128?

    Divide the numerator and the denominator by the GCF 16: 112 ÷ 16 = 7 and 128 ÷ 16 = 8. So 112/128 in lowest terms is 7/8.

    See Also