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    GCF (HCF) of 52 and 78

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 52 and 78?

    Answer

    GCF (HCF) of 52 and 78 is
    26

    Common factors: 1, 2, 13, 26

    26 divides both: 52 ÷ 26 = 2, 78 ÷ 26 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

    52 = 22 × 13

    78 = 2 × 3 × 13

    Prime5278Lowest power
    22222
    3—3—
    13131313

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

    GCF = 2 × 13 = 26

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    What is the GCF (HCF) of 52 and 78. The GCF of 52 and 78 is 26 — 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
    52631
    52644
    526513
    52662
    52671
    52684
    52691
    52702
    52711
    52724
    52731
    52742
    52751
    52764
    52771
    527826
    52791
    52804
    52811
    52822
    52831
    52844
    52851
    52862
    52871
    52884
    52891
    52902
    529113
    52924

    FAQ

    What is the Greatest Common Divisor of 52 and 78?

    GCF (HCF) of 52 and 78 is 26

    How to find the GCF of 52 and 78?

    You can find the GCF of 52 and 78 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 52 and 78 is 26.

    What prime factors do 52 and 78 share?

    The prime factorizations of 52 and 78 have 2 × 13 in common, and multiplying those shared primes gives 26 — exactly the greatest common factor.

    How does the GCF reduce the fraction 52/78?

    Divide the numerator and the denominator by the GCF 26: 52 ÷ 26 = 2 and 78 ÷ 26 = 3. So 52/78 in lowest terms is 2/3.

    See Also