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    GCF of 60 and 245 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 60 and 245?

    Answer

    GCF of 60 and 245 is
    5

    (Five)

    Finding GCF for 60 and 245 using all factors (divisors) listing

    The first method to find GCF for numbers 60 and 245 is to list all factors for both numbers and pick the highest common one:

    All factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

    All factors of 245: 1, 5, 7, 35, 49, 245

    So the Greatest Common Factor for 60 and 245 is 5

    Finding GCF for 60 and 245 by Prime Factorization

    The second method to find GCF for numbers 60 and 245 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 60: 2, 2, 3, 5

    All Prime Factors of 245: 5, 7, 7

    As we can see there is only one Prime Factor common to both numbers. It is 5

    So 5 is the Greatest Common Factor of 60 and 245

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    What is the GCF of 60 and 245. The GCF of 60 and 245 is 5 — 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
    601455
    6015030
    6016515
    6017010
    601755
    6018060
    601855
    6019515
    6020020
    602055
    6021030
    602155
    6022020
    6022515
    602355
    602455
    6025010
    6026020
    602655
    602755
    6029010
    6032020
    603255
    603355
    6034515
    603555
    6037515
    603855
    6039030
    6040020

    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 60 and 245? (The answer is: 5). Select the first number (e.g. '60') and the second number (e.g. '245'). 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 60 and 245?

    GCF of 60 and 245 is 5

    How to find the GCF of 60 and 245?

    You can find the GCF of 60 and 245 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 245 is 5.

    What prime factors do 60 and 245 share?

    The prime factorizations of 60 and 245 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

    How does the GCF reduce the fraction 60/245?

    Divide the numerator and the denominator by the GCF 5: 60 ÷ 5 = 12 and 245 ÷ 5 = 49. So 60/245 in lowest terms is 12/49.

    See Also