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    GCF (HCF) of 18 and 58

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 18 and 58?

    Answer

    GCF (HCF) of 18 and 58 is
    2

    Common factors: 1, 2

    2 divides both: 18 ÷ 2 = 9, 58 ÷ 2 = 29 — and 9 and 29 share no factor but 1, so no larger number divides both.

    18 = 2 × 32

    58 = 2 × 29

    Prime1858Lowest power
    2222
    332——
    29—29—

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

    GCF = 2

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    What is the GCF (HCF) of 18 and 58. The GCF of 18 and 58 is 2 — 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
    18382
    18393
    18402
    18426
    18431
    18459
    18462
    18471
    18486
    18491
    18502
    18513
    185418
    18551
    18562
    18582
    18591
    18606
    18639
    18642
    18666
    18702
    187218
    18753
    18786
    18802
    18819
    18846
    18882
    18966

    FAQ

    What is the Greatest Common Divisor of 18 and 58?

    GCF (HCF) of 18 and 58 is 2

    How to find the GCF of 18 and 58?

    You can find the GCF of 18 and 58 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 18 and 58 is 2.

    What prime factors do 18 and 58 share?

    The prime factorizations of 18 and 58 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

    How does the GCF reduce the fraction 18/58?

    Divide the numerator and the denominator by the GCF 2: 18 ÷ 2 = 9 and 58 ÷ 2 = 29. So 18/58 in lowest terms is 9/29.

    See Also