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    GCF (HCF) of 76 and 104

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 76 and 104?

    Answer

    GCF (HCF) of 76 and 104 is
    4

    Common factors: 1, 2, 4

    4 divides both: 76 ÷ 4 = 19, 104 ÷ 4 = 26 — and 19 and 26 share no factor but 1, so no larger number divides both.

    76 = 22 × 19

    104 = 23 × 13

    Prime76104Lowest power
    2222322
    13—13—
    1919——

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

    GCF = 22 = 4

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    What is the GCF (HCF) of 76 and 104. The GCF of 76 and 104 is 4 — 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
    76891
    76902
    76911
    76924
    76931
    76942
    769519
    76964
    76971
    76982
    76991
    761004
    761011
    761022
    761031
    761044
    761051
    761062
    761071
    761084
    761091
    761102
    761111
    761124
    761131
    7611438
    761151
    761164
    761171
    761182

    FAQ

    What is the Greatest Common Divisor of 76 and 104?

    GCF (HCF) of 76 and 104 is 4

    How to find the GCF of 76 and 104?

    You can find the GCF of 76 and 104 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 76 and 104 is 4.

    What prime factors do 76 and 104 share?

    The prime factorizations of 76 and 104 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 76/104?

    Divide the numerator and the denominator by the GCF 4: 76 ÷ 4 = 19 and 104 ÷ 4 = 26. So 76/104 in lowest terms is 19/26.

    See Also