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    GCF (HCF) of 60 and 108

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 60 and 108?

    Answer

    GCF (HCF) of 60 and 108 is
    12

    Common factors: 1, 2, 3, 4, 6, 12

    12 divides both: 60 ÷ 12 = 5, 108 ÷ 12 = 9 — and 5 and 9 share no factor but 1, so no larger number divides both.

    60 = 22 × 3 × 5

    108 = 22 × 33

    Prime60108Lowest power
    2222222
    33333
    55——

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

    GCF = 22 × 3 = 12

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    What is the GCF (HCF) of 60 and 108. The GCF of 60 and 108 is 12 — 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
    606060
    60666
    607010
    607212
    607515
    608020
    609030
    6010020
    6010515
    6010812
    6011010
    601155
    6012060
    6013212
    6013515
    6014020
    601455
    6015030
    6016515
    6017010
    601755
    6018060
    601855
    6019515
    6020020
    602055
    6021030
    6022020
    6022515
    602455

    FAQ

    What is the Greatest Common Divisor of 60 and 108?

    GCF (HCF) of 60 and 108 is 12

    How to find the GCF of 60 and 108?

    You can find the GCF of 60 and 108 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 108 is 12.

    What prime factors do 60 and 108 share?

    The prime factorizations of 60 and 108 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    How does the GCF reduce the fraction 60/108?

    Divide the numerator and the denominator by the GCF 12: 60 ÷ 12 = 5 and 108 ÷ 12 = 9. So 60/108 in lowest terms is 5/9.

    See Also