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    GCF of 520 and 240 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 520 and 240?

    Answer

    GCF of 520 and 240 is
    40

    (Forty)

    Finding GCF for 520 and 240 using all factors (divisors) listing

    The first method to find GCF for numbers 520 and 240 is to list all factors for both numbers and pick the highest common one:

    All factors of 520: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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

    So the Greatest Common Factor for 520 and 240 is 40

    Finding GCF for 520 and 240 by Prime Factorization

    The second method to find GCF for numbers 520 and 240 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 520: 2, 2, 2, 5, 13

    All Prime Factors of 240: 2, 2, 2, 2, 3, 5

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

    Now we need to multiply them to find GCF: 2 × 2 × 2 × 5 = 40

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    What is the GCF of 520 and 240. The GCF of 520 and 240 is 40 — 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
    5202255
    5202262
    5202271
    5202284
    5202291
    52023010
    5202311
    5202328
    5202331
    52023426
    5202355
    5202364
    5202371
    5202382
    5202391
    52024040
    5202411
    5202422
    5202431
    5202444
    5202455
    5202462
    52024713
    5202488
    5202491
    52025010
    5202511
    5202524
    5202531
    5202542

    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 520 and 240? (The answer is: 40). Select the first number (e.g. '520') and the second number (e.g. '240'). 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 520 and 240?

    GCF of 520 and 240 is 40

    How to find the GCF of 520 and 240?

    You can find the GCF of 520 and 240 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 520 and 240 is 40.

    What prime factors do 520 and 240 share?

    The prime factorizations of 520 and 240 have 2 × 2 × 2 × 5 in common, and multiplying those shared primes gives 40 — exactly the greatest common factor.

    How does the GCF reduce the fraction 520/240?

    Divide the numerator and the denominator by the GCF 40: 520 ÷ 40 = 13 and 240 ÷ 40 = 6. So 520/240 in lowest terms is 13/6.

    See Also