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    GCF of 24 and 28 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 24 and 28?

    Answer

    GCF of 24 and 28 is
    4

    (Four)

    Finding GCF for 24 and 28 using all factors (divisors) listing

    The first method to find GCF for numbers 24 and 28 is to list all factors for both numbers and pick the highest common one:

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

    All factors of 28: 1, 2, 4, 7, 14, 28

    So the Greatest Common Factor for 24 and 28 is 4

    Finding GCF for 24 and 28 by Prime Factorization

    The second method to find GCF for numbers 24 and 28 is to list all Prime Factors for both numbers and multiply the common ones:

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

    All Prime Factors of 28: 2, 2, 7

    As we can see there are Prime Factors common to both numbers: 2, 2

    Now we need to multiply them to find GCF: 2 × 2 = 4

    Related Calculations

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    What is the GCF of 24 and 28. The GCF of 24 and 28 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
    2493
    24168
    24186
    24251
    24262
    24273
    24284
    24306
    24328
    24333
    24342
    24351
    243612
    24371
    24382
    24393
    24408
    24411
    24426
    24431
    24444
    24453
    24462
    244824
    24502
    24524
    24531
    24546
    24568
    246012

    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 24 and 28? (The answer is: 4). Select the first number (e.g. '24') and the second number (e.g. '28'). 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 24 and 28?

    GCF of 24 and 28 is 4

    How to find the GCF of 24 and 28?

    You can find the GCF of 24 and 28 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 28 is 4.

    What prime factors do 24 and 28 share?

    The prime factorizations of 24 and 28 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 24/28?

    Divide the numerator and the denominator by the GCF 4: 24 ÷ 4 = 6 and 28 ÷ 4 = 7. So 24/28 in lowest terms is 6/7.

    See Also