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    GCF of 57 and 60 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 57 and 60?

    Answer

    GCF of 57 and 60 is
    3

    (Three)

    Finding GCF for 57 and 60 using all factors (divisors) listing

    The first method to find GCF for numbers 57 and 60 is to list all factors for both numbers and pick the highest common one:

    All factors of 57: 1, 3, 19, 57

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

    So the Greatest Common Factor for 57 and 60 is 3

    Finding GCF for 57 and 60 by Prime Factorization

    The second method to find GCF for numbers 57 and 60 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 57: 3, 19

    All Prime Factors of 60: 2, 2, 3, 5

    As we can see there is only one Prime Factor common to both numbers. It is 3

    So 3 is the Greatest Common Factor of 57 and 60

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    What is the GCF of 57 and 60. The GCF of 57 and 60 is 3 — 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
    57453
    57461
    57471
    57483
    57491
    57501
    57513
    57521
    57531
    57543
    57551
    57561
    575757
    57581
    57591
    57603
    57611
    57621
    57633
    57641
    57651
    57663
    57671
    57681
    57693
    57701
    57711
    57723
    57731
    57741

    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 57 and 60? (The answer is: 3). Select the first number (e.g. '57') and the second number (e.g. '60'). 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 57 and 60?

    GCF of 57 and 60 is 3

    How to find the GCF of 57 and 60?

    You can find the GCF of 57 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 57 and 60 is 3.

    What prime factors do 57 and 60 share?

    The prime factorizations of 57 and 60 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

    How does the GCF reduce the fraction 57/60?

    Divide the numerator and the denominator by the GCF 3: 57 ÷ 3 = 19 and 60 ÷ 3 = 20. So 57/60 in lowest terms is 19/20.

    See Also