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    GCF (HCF) of 46 and 58

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 46 and 58?

    Answer

    GCF (HCF) of 46 and 58 is
    2

    Common factors: 1, 2

    2 divides both: 46 ÷ 2 = 23, 58 ÷ 2 = 29 — and 23 and 29 share no factor but 1, so no larger number divides both.

    46 = 2 × 23

    58 = 2 × 29

    Prime4658Lowest power
    2222
    2323——
    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 46 and 58. The GCF of 46 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
    46431
    46442
    46451
    464646
    46471
    46482
    46491
    46502
    46511
    46522
    46531
    46542
    46551
    46562
    46571
    46582
    46591
    46602
    46611
    46622
    46631
    46642
    46651
    46662
    46671
    46682
    466923
    46702
    46711
    46722

    FAQ

    What is the Greatest Common Divisor of 46 and 58?

    GCF (HCF) of 46 and 58 is 2

    How to find the GCF of 46 and 58?

    You can find the GCF of 46 and 58 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 46 and 58 is 2.

    What prime factors do 46 and 58 share?

    The prime factorizations of 46 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 46/58?

    Divide the numerator and the denominator by the GCF 2: 46 ÷ 2 = 23 and 58 ÷ 2 = 29. So 46/58 in lowest terms is 23/29.

    See Also