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    GCF (HCF) of 26 and 39

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 26 and 39?

    Answer

    GCF (HCF) of 26 and 39 is
    13

    Common factors: 1, 13

    13 divides both: 26 ÷ 13 = 2, 39 ÷ 13 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

    26 = 2 × 13

    39 = 3 × 13

    Prime2639Lowest power
    22——
    3—3—
    13131313

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

    GCF = 13

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    What is the GCF (HCF) of 26 and 39. The GCF of 26 and 39 is 13 — 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
    26271
    26282
    26302
    26331
    26342
    26351
    26362
    26382
    263913
    26402
    26422
    26431
    26442
    26451
    26462
    26471
    26482
    26491
    26502
    26511
    265226
    26531
    26542
    266513
    2611713

    FAQ

    What is the Greatest Common Divisor of 26 and 39?

    GCF (HCF) of 26 and 39 is 13

    How to find the GCF of 26 and 39?

    You can find the GCF of 26 and 39 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 26 and 39 is 13.

    What prime factors do 26 and 39 share?

    The prime factorizations of 26 and 39 have 13 in common, and multiplying those shared primes gives 13 — exactly the greatest common factor.

    How does the GCF reduce the fraction 26/39?

    Divide the numerator and the denominator by the GCF 13: 26 ÷ 13 = 2 and 39 ÷ 13 = 3. So 26/39 in lowest terms is 2/3.

    See Also