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    GCF (HCF) of 54 and 126

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 54 and 126?

    Answer

    GCF (HCF) of 54 and 126 is
    18

    Common factors: 1, 2, 3, 6, 9, 18

    18 divides both: 54 ÷ 18 = 3, 126 ÷ 18 = 7 — and 3 and 7 share no factor but 1, so no larger number divides both.

    54 = 2 × 33

    126 = 2 × 32 × 7

    Prime54126Lowest power
    2222
    3333232
    7—7—

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

    GCF = 2 × 32 = 18

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    What is the GCF (HCF) of 54 and 126. The GCF of 54 and 126 is 18 — 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
    541113
    541122
    541131
    541146
    541151
    541162
    541179
    541182
    541191
    541206
    541211
    541222
    541233
    541242
    541251
    5412618
    541271
    541282
    541293
    541302
    541311
    541326
    541331
    541342
    5413527
    541362
    541371
    541386
    541391
    541402

    FAQ

    What is the Greatest Common Divisor of 54 and 126?

    GCF (HCF) of 54 and 126 is 18

    How to find the GCF of 54 and 126?

    You can find the GCF of 54 and 126 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 126 is 18.

    What prime factors do 54 and 126 share?

    The prime factorizations of 54 and 126 have 2 × 3 × 3 in common, and multiplying those shared primes gives 18 — exactly the greatest common factor.

    How does the GCF reduce the fraction 54/126?

    Divide the numerator and the denominator by the GCF 18: 54 ÷ 18 = 3 and 126 ÷ 18 = 7. So 54/126 in lowest terms is 3/7.

    See Also