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    GCF (HCF) of 8 and 24

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 8 and 24?

    Answer

    GCF (HCF) of 8 and 24 is
    8

    Common factors: 1, 2, 4, 8

    8 divides 24 (24 ÷ 8 = 3), so the GCF is the smaller number itself.

    8 = 23

    24 = 23 × 3

    Prime824Lowest power
    2232323
    3—3—

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

    GCF = 23 = 8

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    What is the GCF (HCF) of 8 and 24. The GCF of 8 and 24 is 8 — 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
    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
    8422
    8431
    8444

    FAQ

    What is the Greatest Common Divisor of 8 and 24?

    GCF (HCF) of 8 and 24 is 8

    How to find the GCF of 8 and 24?

    You can find the GCF of 8 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 24 is 8.

    What prime factors do 8 and 24 share?

    The prime factorizations of 8 and 24 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

    How does the GCF reduce the fraction 8/24?

    Divide the numerator and the denominator by the GCF 8: 8 ÷ 8 = 1 and 24 ÷ 8 = 3. So 8/24 in lowest terms is 1/3.

    See Also