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    GCF (HCF) of 84 and 112

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 84 and 112?

    Answer

    GCF (HCF) of 84 and 112 is
    28

    Common factors: 1, 2, 4, 7, 14, 28

    28 divides both: 84 ÷ 28 = 3, 112 ÷ 28 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

    84 = 22 × 3 × 7

    112 = 24 × 7

    Prime84112Lowest power
    2222422
    33——
    7777

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

    GCF = 22 × 7 = 28

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    What is the GCF (HCF) of 84 and 112. The GCF of 84 and 112 is 28 — 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
    84971
    849814
    84993
    841004
    841011
    841026
    841031
    841044
    8410521
    841062
    841071
    8410812
    841091
    841102
    841113
    8411228
    841131
    841146
    841151
    841164
    841173
    841182
    841197
    8412012
    841211
    841222
    841233
    841244
    841251
    8412642

    FAQ

    What is the Greatest Common Divisor of 84 and 112?

    GCF (HCF) of 84 and 112 is 28

    How to find the GCF of 84 and 112?

    You can find the GCF of 84 and 112 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 112 is 28.

    What prime factors do 84 and 112 share?

    The prime factorizations of 84 and 112 have 2 × 2 × 7 in common, and multiplying those shared primes gives 28 — exactly the greatest common factor.

    How does the GCF reduce the fraction 84/112?

    Divide the numerator and the denominator by the GCF 28: 84 ÷ 28 = 3 and 112 ÷ 28 = 4. So 84/112 in lowest terms is 3/4.

    See Also