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    GCF (HCF) of 57 and 60

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 57 and 60?

    Answer

    GCF (HCF) of 57 and 60 is
    3

    Common factors: 1, 3

    3 divides both: 57 ÷ 3 = 19, 60 ÷ 3 = 20 — and 19 and 20 share no factor but 1, so no larger number divides both.

    57 = 3 × 19

    60 = 22 × 3 × 5

    Prime5760Lowest power
    2—22—
    3333
    5—5—
    1919——

    — = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

    GCF = 3

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    What is the GCF (HCF) 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

    FAQ

    What is the Greatest Common Divisor of 57 and 60?

    GCF (HCF) 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.