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    GCF of 120 and 160 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 120 and 160?

    Answer

    GCF of 120 and 160 is
    40

    (Forty)

    Finding GCF for 120 and 160 using all factors (divisors) listing

    The first method to find GCF for numbers 120 and 160 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 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

    So the Greatest Common Factor for 120 and 160 is 40

    Finding GCF for 120 and 160 by Prime Factorization

    The second method to find GCF for numbers 120 and 160 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 160: 2, 2, 2, 2, 2, 5

    As we can see there are Prime Factors common to both numbers: 2, 2, 2, 5

    Now we need to multiply them to find GCF: 2 × 2 × 2 × 5 = 40

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    What is the GCF of 120 and 160. The GCF of 120 and 160 is 40 — 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
    1201455
    1201462
    1201473
    1201484
    1201491
    12015030
    1201511
    1201528
    1201533
    1201542
    1201555
    12015612
    1201571
    1201582
    1201593
    12016040
    1201611
    1201626
    1201631
    1201644
    12016515
    1201662
    1201671
    12016824
    1201691
    12017010
    1201713
    1201724
    1201731
    1201746

    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 160? (The answer is: 40). Select the first number (e.g. '120') and the second number (e.g. '160'). 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 160?

    GCF of 120 and 160 is 40

    How to find the GCF of 120 and 160?

    You can find the GCF of 120 and 160 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 120 and 160 is 40.

    What prime factors do 120 and 160 share?

    The prime factorizations of 120 and 160 have 2 × 2 × 2 × 5 in common, and multiplying those shared primes gives 40 — exactly the greatest common factor.

    How does the GCF reduce the fraction 120/160?

    Divide the numerator and the denominator by the GCF 40: 120 ÷ 40 = 3 and 160 ÷ 40 = 4. So 120/160 in lowest terms is 3/4.

    See Also