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    GCF of 125 and 500 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 125 and 500?

    Answer

    GCF of 125 and 500 is
    125

    (One hundred twenty-five)

    Finding GCF for 125 and 500 using all factors (divisors) listing

    The first method to find GCF for numbers 125 and 500 is to list all factors for both numbers and pick the highest common one:

    All factors of 125: 1, 5, 25, 125

    All factors of 500: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

    So the Greatest Common Factor for 125 and 500 is 125

    Finding GCF for 125 and 500 by Prime Factorization

    The second method to find GCF for numbers 125 and 500 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 125: 5, 5, 5

    All Prime Factors of 500: 2, 2, 5, 5, 5

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

    Now we need to multiply them to find GCF: 5 × 5 × 5 = 125

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    What is the GCF of 125 and 500. The GCF of 125 and 500 is 125 — 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
    1254855
    1254861
    1254871
    1254881
    1254891
    1254905
    1254911
    1254921
    1254931
    1254941
    1254955
    1254961
    1254971
    1254981
    1254991
    125500125
    1255011
    1255021
    1255031
    1255041
    1255055
    1255061
    1255071
    1255081
    1255091
    1255105
    1255111
    1255121
    1255131
    1255141

    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 125 and 500? (The answer is: 125). Select the first number (e.g. '125') and the second number (e.g. '500'). 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 125 and 500?

    GCF of 125 and 500 is 125

    How to find the GCF of 125 and 500?

    You can find the GCF of 125 and 500 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 125 and 500 is 125.

    What prime factors do 125 and 500 share?

    The prime factorizations of 125 and 500 have 5 × 5 × 5 in common, and multiplying those shared primes gives 125 — exactly the greatest common factor.

    How does the GCF reduce the fraction 125/500?

    Divide the numerator and the denominator by the GCF 125: 125 ÷ 125 = 1 and 500 ÷ 125 = 4. So 125/500 in lowest terms is 1/4.

    See Also