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    GCF of 84 and 128 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 84 and 128?

    Answer

    GCF of 84 and 128 is
    4

    (Four)

    Finding GCF for 84 and 128 using all factors (divisors) listing

    The first method to find GCF for numbers 84 and 128 is to list all factors for both numbers and pick the highest common one:

    All factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

    All factors of 128: 1, 2, 4, 8, 16, 32, 64, 128

    So the Greatest Common Factor for 84 and 128 is 4

    Finding GCF for 84 and 128 by Prime Factorization

    The second method to find GCF for numbers 84 and 128 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 84: 2, 2, 3, 7

    All Prime Factors of 128: 2, 2, 2, 2, 2, 2, 2

    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

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    What is the GCF of 84 and 128. The GCF of 84 and 128 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
    841131
    841146
    841151
    841164
    841173
    841182
    841197
    8412012
    841211
    841222
    841233
    841244
    841251
    8412642
    841271
    841284
    841293
    841302
    841311
    8413212
    841337
    841342
    841353
    841364
    841371
    841386
    841391
    8414028
    841413
    841422

    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 84 and 128? (The answer is: 4). Select the first number (e.g. '84') and the second number (e.g. '128'). 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 84 and 128?

    GCF of 84 and 128 is 4

    How to find the GCF of 84 and 128?

    You can find the GCF of 84 and 128 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 128 is 4.

    What prime factors do 84 and 128 share?

    The prime factorizations of 84 and 128 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 84/128?

    Divide the numerator and the denominator by the GCF 4: 84 ÷ 4 = 21 and 128 ÷ 4 = 32. So 84/128 in lowest terms is 21/32.

    See Also