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    GCF of 120 and 68 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 120 and 68?

    Answer

    GCF of 120 and 68 is
    4

    (Four)

    Finding GCF for 120 and 68 using all factors (divisors) listing

    The first method to find GCF for numbers 120 and 68 is to list all factors for both numbers and pick the highest common one:

    All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

    All factors of 68: 1, 2, 4, 17, 34, 68

    So the Greatest Common Factor for 120 and 68 is 4

    Finding GCF for 120 and 68 by Prime Factorization

    The second method to find GCF for numbers 120 and 68 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 120: 2, 2, 2, 3, 5

    All Prime Factors of 68: 2, 2, 17

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

    Now we need to multiply them to find GCF: 2 × 2 = 4

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    What is the GCF of 120 and 68. The GCF of 120 and 68 is 4 — 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
    120531
    120546
    120555
    120568
    120573
    120582
    120591
    1206060
    120611
    120622
    120633
    120648
    120655
    120666
    120671
    120684
    120693
    1207010
    120711
    1207224
    120731
    120742
    1207515
    120764
    120771
    120786
    120791
    1208040
    120813
    120822

    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 120 and 68? (The answer is: 4). Select the first number (e.g. '120') and the second number (e.g. '68'). 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 120 and 68?

    GCF of 120 and 68 is 4

    How to find the GCF of 120 and 68?

    You can find the GCF of 120 and 68 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 120 and 68 is 4.

    What prime factors do 120 and 68 share?

    The prime factorizations of 120 and 68 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 120/68?

    Divide the numerator and the denominator by the GCF 4: 120 ÷ 4 = 30 and 68 ÷ 4 = 17. So 120/68 in lowest terms is 30/17.

    See Also