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    GCF of 150 and 375 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 150 and 375?

    Answer

    GCF of 150 and 375 is
    75

    (Seventy-five)

    Finding GCF for 150 and 375 using all factors (divisors) listing

    The first method to find GCF for numbers 150 and 375 is to list all factors for both numbers and pick the highest common one:

    All factors of 150: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

    All factors of 375: 1, 3, 5, 15, 25, 75, 125, 375

    So the Greatest Common Factor for 150 and 375 is 75

    Finding GCF for 150 and 375 by Prime Factorization

    The second method to find GCF for numbers 150 and 375 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 150: 2, 3, 5, 5

    All Prime Factors of 375: 3, 5, 5, 5

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

    Now we need to multiply them to find GCF: 3 × 5 × 5 = 75

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    What is the GCF of 150 and 375. The GCF of 150 and 375 is 75 — 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
    15036030
    1503611
    1503622
    1503633
    1503642
    1503655
    1503666
    1503671
    1503682
    1503693
    15037010
    1503711
    1503726
    1503731
    1503742
    15037575
    1503762
    1503771
    1503786
    1503791
    15038010
    1503813
    1503822
    1503831
    1503846
    1503855
    1503862
    1503873
    1503882
    1503891

    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 150 and 375? (The answer is: 75). Select the first number (e.g. '150') and the second number (e.g. '375'). 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 150 and 375?

    GCF of 150 and 375 is 75

    How to find the GCF of 150 and 375?

    You can find the GCF of 150 and 375 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 150 and 375 is 75.

    What prime factors do 150 and 375 share?

    The prime factorizations of 150 and 375 have 3 × 5 × 5 in common, and multiplying those shared primes gives 75 — exactly the greatest common factor.

    How does the GCF reduce the fraction 150/375?

    Divide the numerator and the denominator by the GCF 75: 150 ÷ 75 = 2 and 375 ÷ 75 = 5. So 150/375 in lowest terms is 2/5.

    See Also