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    GCF of 168 and 180 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 168 and 180?

    Answer

    GCF of 168 and 180 is
    12

    (Twelve)

    Finding GCF for 168 and 180 using all factors (divisors) listing

    The first method to find GCF for numbers 168 and 180 is to list all factors for both numbers and pick the highest common one:

    All factors of 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

    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 168 and 180 is 12

    Finding GCF for 168 and 180 by Prime Factorization

    The second method to find GCF for numbers 168 and 180 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 168: 2, 2, 2, 3, 7

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

    As we can see there are Prime Factors common to both numbers: 2, 2, 3

    Now we need to multiply them to find GCF: 2 × 2 × 3 = 12

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    See Also

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    What is the GCF of 168 and 180. The GCF of 168 and 180 is 12 — 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
    1681653
    1681662
    1681671
    168168168
    1681691
    1681702
    1681713
    1681724
    1681731
    1681746
    1681757
    1681768
    1681773
    1681782
    1681791
    16818012
    1681811
    16818214
    1681833
    1681848
    1681851
    1681866
    1681871
    1681884
    16818921
    1681902
    1681911
    16819224
    1681931
    1681942

    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 168 and 180? (The answer is: 12). Select the first number (e.g. '168') 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 168 and 180?

    GCF of 168 and 180 is 12

    How to find the GCF of 168 and 180?

    You can find the GCF of 168 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 168 and 180 is 12.

    What prime factors do 168 and 180 share?

    The prime factorizations of 168 and 180 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    How does the GCF reduce the fraction 168/180?

    Divide the numerator and the denominator by the GCF 12: 168 ÷ 12 = 14 and 180 ÷ 12 = 15. So 168/180 in lowest terms is 14/15.

    See Also