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    GCF of 96 and 36 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 96 and 36?

    Answer

    GCF of 96 and 36 is
    12

    (Twelve)

    Finding GCF for 96 and 36 using all factors (divisors) listing

    The first method to find GCF for numbers 96 and 36 is to list all factors for both numbers and pick the highest common one:

    All factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

    All factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

    So the Greatest Common Factor for 96 and 36 is 12

    Finding GCF for 96 and 36 by Prime Factorization

    The second method to find GCF for numbers 96 and 36 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 96: 2, 2, 2, 2, 2, 3

    All Prime Factors of 36: 2, 2, 3, 3

    As we can see there are Prime Factors common to both numbers: 2, 2, 3

    Now we need to multiply them to find GCF: 2 × 2 × 3 = 12

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    What is the GCF of 96 and 36. The GCF of 96 and 36 is 12 — 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
    96213
    96222
    96231
    962424
    96251
    96262
    96273
    96284
    96291
    96306
    96311
    963232
    96333
    96342
    96351
    963612
    96371
    96382
    96393
    96408
    96411
    96426
    96431
    96444
    96453
    96462
    96471
    964848
    96491
    96502

    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 96 and 36? (The answer is: 12). Select the first number (e.g. '96') and the second number (e.g. '36'). 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 96 and 36?

    GCF of 96 and 36 is 12

    How to find the GCF of 96 and 36?

    You can find the GCF of 96 and 36 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 96 and 36 is 12.

    What prime factors do 96 and 36 share?

    The prime factorizations of 96 and 36 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    How does the GCF reduce the fraction 96/36?

    Divide the numerator and the denominator by the GCF 12: 96 ÷ 12 = 8 and 36 ÷ 12 = 3. So 96/36 in lowest terms is 8/3.

    See Also