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    GCF of 480 and 720 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 480 and 720?

    Answer

    GCF of 480 and 720 is
    240

    (Two hundred forty)

    Finding GCF for 480 and 720 using all factors (divisors) listing

    The first method to find GCF for numbers 480 and 720 is to list all factors for both numbers and pick the highest common one:

    All factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

    All factors of 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

    So the Greatest Common Factor for 480 and 720 is 240

    Finding GCF for 480 and 720 by Prime Factorization

    The second method to find GCF for numbers 480 and 720 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 480: 2, 2, 2, 2, 2, 3, 5

    All Prime Factors of 720: 2, 2, 2, 2, 3, 3, 5

    As we can see there are Prime Factors common to both numbers: 2, 2, 2, 2, 3, 5

    Now we need to multiply them to find GCF: 2 × 2 × 2 × 2 × 3 × 5 = 240

    Related Calculations

    See Also

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    What is the GCF of 480 and 720. The GCF of 480 and 720 is 240 — 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
    48070515
    4807062
    4807071
    48070812
    4807091
    48071010
    4807113
    4807128
    4807131
    4807146
    4807155
    4807164
    4807173
    4807182
    4807191
    480720240
    4807211
    4807222
    4807233
    4807244
    4807255
    4807266
    4807271
    4807288
    4807293
    48073010
    4807311
    48073212
    4807331
    4807342

    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 480 and 720? (The answer is: 240). Select the first number (e.g. '480') and the second number (e.g. '720'). 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 480 and 720?

    GCF of 480 and 720 is 240

    How to find the GCF of 480 and 720?

    You can find the GCF of 480 and 720 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 480 and 720 is 240.

    What prime factors do 480 and 720 share?

    The prime factorizations of 480 and 720 have 2 × 2 × 2 × 2 × 3 × 5 in common, and multiplying those shared primes gives 240 — exactly the greatest common factor.

    How does the GCF reduce the fraction 480/720?

    Divide the numerator and the denominator by the GCF 240: 480 ÷ 240 = 2 and 720 ÷ 240 = 3. So 480/720 in lowest terms is 2/3.

    See Also