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    GCF (HCF) of 8 and 12

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 8 and 12?

    Answer

    GCF (HCF) of 8 and 12 is
    4

    Common factors: 1, 2, 4

    4 divides both: 8 ÷ 4 = 2, 12 ÷ 4 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

    8 = 23

    12 = 22 × 3

    Prime812Lowest power
    2232222
    3—3—

    — = 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 8 and 12. The GCF of 8 and 12 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
    822
    831
    844
    851
    862
    891
    8102
    8111
    8124
    8131
    8142
    8151
    8168
    8171
    8182
    8191
    8204
    8211
    8248
    8251
    8262
    8271
    8284
    8291
    8302
    8328
    8331
    8351
    8364
    8408

    FAQ

    What is the Greatest Common Divisor of 8 and 12?

    GCF (HCF) of 8 and 12 is 4

    How to find the GCF of 8 and 12?

    You can find the GCF of 8 and 12 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 12 is 4.

    What prime factors do 8 and 12 share?

    The prime factorizations of 8 and 12 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 8/12?

    Divide the numerator and the denominator by the GCF 4: 8 ÷ 4 = 2 and 12 ÷ 4 = 3. So 8/12 in lowest terms is 2/3.

    See Also