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    GCF of 9 and 24 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 9 and 24?

    Answer

    GCF of 9 and 24 is
    3

    (Three)

    Finding GCF for 9 and 24 using all factors (divisors) listing

    The first method to find GCF for numbers 9 and 24 is to list all factors for both numbers and pick the highest common one:

    All factors of 9: 1, 3, 9

    All factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

    So the Greatest Common Factor for 9 and 24 is 3

    Finding GCF for 9 and 24 by Prime Factorization

    The second method to find GCF for numbers 9 and 24 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 9: 3, 3

    All Prime Factors of 24: 2, 2, 2, 3

    As we can see there is only one Prime Factor common to both numbers. It is 3

    So 3 is the Greatest Common Factor of 9 and 24

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    What is the GCF 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
    981
    9101
    9111
    9123
    9131
    9141
    9153
    9161
    9171
    9189
    9191
    9201
    9213
    9221
    9231
    9243
    9251
    9261
    9279
    9291
    9303
    9311
    9321
    9333
    9341
    9351
    9369
    9393
    9401
    9423

    About "Greatest Common Factor" Calculator

    This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 9 and 24? (The answer is: 3). Select the first number (e.g. '9') and the second number (e.g. '24'). After that hit the 'Calculate' button.
    Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    FAQ

    What is the Greatest Common Divisor of 9 and 24?

    GCF 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