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    GCF (HCF) of 84 and 132

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 84 and 132?

    Answer

    GCF (HCF) of 84 and 132 is
    12

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

    12 divides both: 84 ÷ 12 = 7, 132 ÷ 12 = 11 — and 7 and 11 share no factor but 1, so no larger number divides both.

    84 = 22 × 3 × 7

    132 = 22 × 3 × 11

    Prime84132Lowest power
    2222222
    3333
    77——
    11—11—

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

    GCF = 22 × 3 = 12

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    What is the GCF (HCF) of 84 and 132. The GCF of 84 and 132 is 12 — 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
    841173
    841182
    841197
    8412012
    841211
    841222
    841233
    841244
    841251
    8412642
    841271
    841284
    841293
    841302
    841311
    8413212
    841337
    841342
    841353
    841364
    841371
    841386
    841391
    8414028
    841413
    841422
    841431
    8414412
    841451
    841462

    FAQ

    What is the Greatest Common Divisor of 84 and 132?

    GCF (HCF) of 84 and 132 is 12

    How to find the GCF of 84 and 132?

    You can find the GCF of 84 and 132 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 132 is 12.

    What prime factors do 84 and 132 share?

    The prime factorizations of 84 and 132 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    How does the GCF reduce the fraction 84/132?

    Divide the numerator and the denominator by the GCF 12: 84 ÷ 12 = 7 and 132 ÷ 12 = 11. So 84/132 in lowest terms is 7/11.

    See Also