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    GCF of 85 and 120 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 85 and 120?

    Answer

    GCF of 85 and 120 is
    5

    (Five)

    Finding GCF for 85 and 120 using all factors (divisors) listing

    The first method to find GCF for numbers 85 and 120 is to list all factors for both numbers and pick the highest common one:

    All factors of 85: 1, 5, 17, 85

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

    So the Greatest Common Factor for 85 and 120 is 5

    Finding GCF for 85 and 120 by Prime Factorization

    The second method to find GCF for numbers 85 and 120 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 85: 5, 17

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

    As we can see there is only one Prime Factor common to both numbers. It is 5

    So 5 is the Greatest Common Factor of 85 and 120

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    What is the GCF of 85 and 120. The GCF of 85 and 120 is 5 — 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
    851055
    851061
    851071
    851081
    851091
    851105
    851111
    851121
    851131
    851141
    851155
    851161
    851171
    851181
    8511917
    851205
    851211
    851221
    851231
    851241
    851255
    851261
    851271
    851281
    851291
    851305
    851311
    851321
    851331
    851341

    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 85 and 120? (The answer is: 5). Select the first number (e.g. '85') and the second number (e.g. '120'). 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 85 and 120?

    GCF of 85 and 120 is 5

    How to find the GCF of 85 and 120?

    You can find the GCF of 85 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 85 and 120 is 5.

    What prime factors do 85 and 120 share?

    The prime factorizations of 85 and 120 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

    How does the GCF reduce the fraction 85/120?

    Divide the numerator and the denominator by the GCF 5: 85 ÷ 5 = 17 and 120 ÷ 5 = 24. So 85/120 in lowest terms is 17/24.

    See Also