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    GCF of 125 and 150 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 125 and 150?

    Answer

    GCF of 125 and 150 is
    25

    (Twenty-five)

    Finding GCF for 125 and 150 using all factors (divisors) listing

    The first method to find GCF for numbers 125 and 150 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 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

    So the Greatest Common Factor for 125 and 150 is 25

    Finding GCF for 125 and 150 by Prime Factorization

    The second method to find GCF for numbers 125 and 150 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 150: 2, 3, 5, 5

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

    Now we need to multiply them to find GCF: 5 × 5 = 25

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    What is the GCF of 125 and 150. The GCF of 125 and 150 is 25 — 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
    1251355
    1251361
    1251371
    1251381
    1251391
    1251405
    1251411
    1251421
    1251431
    1251441
    1251455
    1251461
    1251471
    1251481
    1251491
    12515025
    1251511
    1251521
    1251531
    1251541
    1251555
    1251561
    1251571
    1251581
    1251591
    1251605
    1251611
    1251621
    1251631
    1251641

    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 150? (The answer is: 25). Select the first number (e.g. '125') and the second number (e.g. '150'). 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 150?

    GCF of 125 and 150 is 25

    How to find the GCF of 125 and 150?

    You can find the GCF of 125 and 150 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 125 and 150 is 25.

    What prime factors do 125 and 150 share?

    The prime factorizations of 125 and 150 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

    How does the GCF reduce the fraction 125/150?

    Divide the numerator and the denominator by the GCF 25: 125 ÷ 25 = 5 and 150 ÷ 25 = 6. So 125/150 in lowest terms is 5/6.

    See Also