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    GCF (HCF) of 84 and 126

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 84 and 126?

    Answer

    GCF (HCF) of 84 and 126 is
    42

    Common factors: 1, 2, 3, 6, 7, 14, 21, 42

    42 divides both: 84 ÷ 42 = 2, 126 ÷ 42 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

    84 = 22 × 3 × 7

    126 = 2 × 32 × 7

    Prime84126Lowest power
    22222
    33323
    7777

    GCF = 2 × 3 × 7 = 42

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    What is the GCF (HCF) of 84 and 126. The GCF of 84 and 126 is 42 — 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
    841113
    8411228
    841131
    841146
    841151
    841164
    841173
    841182
    841197
    8412012
    841211
    841222
    841233
    841244
    841251
    8412642
    841271
    841284
    841293
    841302
    841311
    8413212
    841337
    841342
    841353
    841364
    841371
    841386
    841391
    8414028

    FAQ

    What is the Greatest Common Divisor of 84 and 126?

    GCF (HCF) of 84 and 126 is 42

    How to find the GCF of 84 and 126?

    You can find the GCF of 84 and 126 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 126 is 42.

    What prime factors do 84 and 126 share?

    The prime factorizations of 84 and 126 have 2 × 3 × 7 in common, and multiplying those shared primes gives 42 — exactly the greatest common factor.

    How does the GCF reduce the fraction 84/126?

    Divide the numerator and the denominator by the GCF 42: 84 ÷ 42 = 2 and 126 ÷ 42 = 3. So 84/126 in lowest terms is 2/3.

    See Also