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    GCF (HCF) of 9 and 24

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 9 and 24?

    Answer

    GCF (HCF) of 9 and 24 is
    3

    Common factors: 1, 3

    3 divides both: 9 ÷ 3 = 3, 24 ÷ 3 = 8 — and 3 and 8 share no factor but 1, so no larger number divides both.

    9 = 32

    24 = 23 × 3

    Prime924Lowest power
    2—23—
    33233

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

    GCF = 3

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    What is the GCF (HCF) of 9 and 24. The GCF of 9 and 24 is 3 — 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
    971
    981
    9101
    9111
    9123
    9131
    9141
    9153
    9161
    9171
    9189
    9191
    9201
    9213
    9221
    9243
    9251
    9261
    9279
    9281
    9291
    9303
    9341
    9351
    9369
    9393
    9401
    9423
    9459
    9461

    FAQ

    What is the Greatest Common Divisor of 9 and 24?

    GCF (HCF) of 9 and 24 is 3

    How to find the GCF of 9 and 24?

    You can find the GCF of 9 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 24 is 3.

    What prime factors do 9 and 24 share?

    The prime factorizations of 9 and 24 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

    How does the GCF reduce the fraction 9/24?

    Divide the numerator and the denominator by the GCF 3: 9 ÷ 3 = 3 and 24 ÷ 3 = 8. So 9/24 in lowest terms is 3/8.

    See Also