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    GCF of 210 and 180 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 210 and 180?

    Answer

    GCF of 210 and 180 is
    30

    (Thirty)

    Finding GCF for 210 and 180 using all factors (divisors) listing

    The first method to find GCF for numbers 210 and 180 is to list all factors for both numbers and pick the highest common one:

    All factors of 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

    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 210 and 180 is 30

    Finding GCF for 210 and 180 by Prime Factorization

    The second method to find GCF for numbers 210 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 210: 2, 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: 2, 3, 5

    Now we need to multiply them to find GCF: 2 × 3 × 5 = 30

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    What is the GCF of 210 and 180. The GCF of 210 and 180 is 30 — 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
    21016515
    2101662
    2101671
    21016842
    2101691
    21017010
    2101713
    2101722
    2101731
    2101746
    21017535
    2101762
    2101773
    2101782
    2101791
    21018030
    2101811
    21018214
    2101833
    2101842
    2101855
    2101866
    2101871
    2101882
    21018921
    21019010
    2101911
    2101926
    2101931
    2101942

    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 210 and 180? (The answer is: 30). Select the first number (e.g. '210') 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 210 and 180?

    GCF of 210 and 180 is 30

    How to find the GCF of 210 and 180?

    You can find the GCF of 210 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 210 and 180 is 30.

    What prime factors do 210 and 180 share?

    The prime factorizations of 210 and 180 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

    How does the GCF reduce the fraction 210/180?

    Divide the numerator and the denominator by the GCF 30: 210 ÷ 30 = 7 and 180 ÷ 30 = 6. So 210/180 in lowest terms is 7/6.

    See Also