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    GCF (HCF) of 77 and 308

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 77 and 308?

    Answer

    GCF (HCF) of 77 and 308 is
    77

    Common factors: 1, 7, 11, 77

    77 divides 308 (308 ÷ 77 = 4), so the GCF is the smaller number itself.

    77 = 7 × 11

    308 = 22 × 7 × 11

    Prime77308Lowest power
    2—22—
    7777
    11111111

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

    GCF = 7 × 11 = 77

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    What is the GCF (HCF) of 77 and 308. The GCF of 77 and 308 is 77 — 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
    772931
    772947
    772951
    772961
    7729711
    772981
    772991
    773001
    773017
    773021
    773031
    773041
    773051
    773061
    773071
    7730877
    773091
    773101
    773111
    773121
    773131
    773141
    773157
    773161
    773171
    773181
    7731911
    773201
    773211
    773227

    FAQ

    What is the Greatest Common Divisor of 77 and 308?

    GCF (HCF) of 77 and 308 is 77

    How to find the GCF of 77 and 308?

    You can find the GCF of 77 and 308 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 77 and 308 is 77.

    What prime factors do 77 and 308 share?

    The prime factorizations of 77 and 308 have 7 × 11 in common, and multiplying those shared primes gives 77 — exactly the greatest common factor.

    How does the GCF reduce the fraction 77/308?

    Divide the numerator and the denominator by the GCF 77: 77 ÷ 77 = 1 and 308 ÷ 77 = 4. So 77/308 in lowest terms is 1/4.