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    GCF (HCF) of 60 and 225

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 60 and 225?

    Answer

    GCF (HCF) of 60 and 225 is
    15

    Common factors: 1, 3, 5, 15

    15 divides both: 60 ÷ 15 = 4, 225 ÷ 15 = 15 — and 4 and 15 share no factor but 1, so no larger number divides both.

    60 = 22 × 3 × 5

    225 = 32 × 52

    Prime60225Lowest power
    222——
    33323
    55525

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

    GCF = 3 × 5 = 15

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    What is the GCF (HCF) of 60 and 225. The GCF of 60 and 225 is 15 — 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
    6013212
    6013515
    6014020
    601455
    6015030
    6016515
    6017010
    601755
    6018060
    601855
    6019515
    6020020
    602055
    6021030
    6022020
    6022515
    602455
    6025010
    6026020
    602755
    6029010
    603255
    603355
    603555
    6037515
    603855
    6039030
    6040020
    6042060
    604255

    FAQ

    What is the Greatest Common Divisor of 60 and 225?

    GCF (HCF) of 60 and 225 is 15

    How to find the GCF of 60 and 225?

    You can find the GCF of 60 and 225 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 225 is 15.

    What prime factors do 60 and 225 share?

    The prime factorizations of 60 and 225 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

    How does the GCF reduce the fraction 60/225?

    Divide the numerator and the denominator by the GCF 15: 60 ÷ 15 = 4 and 225 ÷ 15 = 15. So 60/225 in lowest terms is 4/15.

    See Also