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    GCF of 315 and 180 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 315 and 180?

    Answer

    GCF of 315 and 180 is
    45

    (Forty-five)

    Finding GCF for 315 and 180 using all factors (divisors) listing

    The first method to find GCF for numbers 315 and 180 is to list all factors for both numbers and pick the highest common one:

    All factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

    All factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

    So the Greatest Common Factor for 315 and 180 is 45

    Finding GCF for 315 and 180 by Prime Factorization

    The second method to find GCF for numbers 315 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 315: 3, 3, 5, 7

    All Prime Factors of 180: 2, 2, 3, 3, 5

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

    Now we need to multiply them to find GCF: 3 × 3 × 5 = 45

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    What is the GCF of 315 and 180. The GCF of 315 and 180 is 45 — 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
    31516515
    3151661
    3151671
    31516821
    3151691
    3151705
    3151719
    3151721
    3151731
    3151743
    31517535
    3151761
    3151773
    3151781
    3151791
    31518045
    3151811
    3151827
    3151833
    3151841
    3151855
    3151863
    3151871
    3151881
    31518963
    3151905
    3151911
    3151923
    3151931
    3151941

    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 315 and 180? (The answer is: 45). Select the first number (e.g. '315') and the second number (e.g. '180'). 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 315 and 180?

    GCF of 315 and 180 is 45

    How to find the GCF of 315 and 180?

    You can find the GCF of 315 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 315 and 180 is 45.

    What prime factors do 315 and 180 share?

    The prime factorizations of 315 and 180 have 3 × 3 × 5 in common, and multiplying those shared primes gives 45 — exactly the greatest common factor.

    How does the GCF reduce the fraction 315/180?

    Divide the numerator and the denominator by the GCF 45: 315 ÷ 45 = 7 and 180 ÷ 45 = 4. So 315/180 in lowest terms is 7/4.

    See Also