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    GCF of 96 and 144 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 96 and 144?

    Answer

    GCF of 96 and 144 is
    48

    (Forty-eight)

    Finding GCF for 96 and 144 using all factors (divisors) listing

    The first method to find GCF for numbers 96 and 144 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 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

    So the Greatest Common Factor for 96 and 144 is 48

    Finding GCF for 96 and 144 by Prime Factorization

    The second method to find GCF for numbers 96 and 144 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 144: 2, 2, 2, 2, 3, 3

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

    Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 × 3 = 48

    Related Calculations

    See Also

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    What is the GCF of 96 and 144. The GCF of 96 and 144 is 48 — 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
    961293
    961302
    961311
    9613212
    961331
    961342
    961353
    961368
    961371
    961386
    961391
    961404
    961413
    961422
    961431
    9614448
    961451
    961462
    961473
    961484
    961491
    961506
    961511
    961528
    961533
    961542
    961551
    9615612
    961571
    961582

    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 144? (The answer is: 48). Select the first number (e.g. '96') and the second number (e.g. '144'). 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 144?

    GCF of 96 and 144 is 48

    How to find the GCF of 96 and 144?

    You can find the GCF of 96 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 96 and 144 is 48.

    What prime factors do 96 and 144 share?

    The prime factorizations of 96 and 144 have 2 × 2 × 2 × 2 × 3 in common, and multiplying those shared primes gives 48 — exactly the greatest common factor.

    How does the GCF reduce the fraction 96/144?

    Divide the numerator and the denominator by the GCF 48: 96 ÷ 48 = 2 and 144 ÷ 48 = 3. So 96/144 in lowest terms is 2/3.

    See Also