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    GCF (HCF) of 38 and 50

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 38 and 50?

    Answer

    GCF (HCF) of 38 and 50 is
    2

    Common factors: 1, 2

    2 divides both: 38 ÷ 2 = 19, 50 ÷ 2 = 25 — and 19 and 25 share no factor but 1, so no larger number divides both.

    38 = 2 × 19

    50 = 2 × 52

    Prime3850Lowest power
    2222
    5—52—
    1919——

    — = 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 50. The GCF of 38 and 50 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
    38402
    38411
    38422
    38442
    38462
    38482
    38491
    38502
    38522
    38542
    385719
    38582
    38591
    38602
    389519

    FAQ

    What is the Greatest Common Divisor of 38 and 50?

    GCF (HCF) of 38 and 50 is 2

    How to find the GCF of 38 and 50?

    You can find the GCF of 38 and 50 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 38 and 50 is 2.

    What prime factors do 38 and 50 share?

    The prime factorizations of 38 and 50 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

    How does the GCF reduce the fraction 38/50?

    Divide the numerator and the denominator by the GCF 2: 38 ÷ 2 = 19 and 50 ÷ 2 = 25. So 38/50 in lowest terms is 19/25.

    See Also