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    GCF (HCF) of 38 and 58

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 38 and 58?

    Answer

    GCF (HCF) of 38 and 58 is
    2

    Common factors: 1, 2

    2 divides both: 38 ÷ 2 = 19, 58 ÷ 2 = 29 — and 19 and 29 share no factor but 1, so no larger number divides both.

    38 = 2 × 19

    58 = 2 × 29

    Prime3858Lowest power
    2222
    1919——
    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 38 and 58. The GCF of 38 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
    38431
    38442
    38451
    38462
    38471
    38482
    38491
    38502
    38511
    38522
    38531
    38542
    38551
    38562
    385719
    38582
    38591
    38602
    38611
    38622
    38631
    38642
    38651
    38662
    38671
    38682
    38691
    38702
    38711
    38722

    FAQ

    What is the Greatest Common Divisor of 38 and 58?

    GCF (HCF) of 38 and 58 is 2

    How to find the GCF of 38 and 58?

    You can find the GCF of 38 and 58 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 38 and 58 is 2.

    What prime factors do 38 and 58 share?

    The prime factorizations of 38 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 38/58?

    Divide the numerator and the denominator by the GCF 2: 38 ÷ 2 = 19 and 58 ÷ 2 = 29. So 38/58 in lowest terms is 19/29.

    See Also