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    GCF (HCF) of 210 and 300

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 210 and 300?

    Answer

    GCF (HCF) of 210 and 300 is
    30

    Common factors: 1, 2, 3, 5, 6, 10, 15, 30

    30 divides both: 210 ÷ 30 = 7, 300 ÷ 30 = 10 — and 7 and 10 share no factor but 1, so no larger number divides both.

    210 = 2 × 3 × 5 × 7

    300 = 22 × 3 × 52

    Prime210300Lowest power
    22222
    3333
    55525
    77——

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

    GCF = 2 × 3 × 5 = 30

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    What is the GCF (HCF) of 210 and 300. The GCF of 210 and 300 is 30 — 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
    21028515
    2102862
    2102877
    2102886
    2102891
    21029010
    2102913
    2102922
    2102931
    21029442
    2102955
    2102962
    2102973
    2102982
    2102991
    21030030
    2103017
    2103022
    2103033
    2103042
    2103055
    2103066
    2103071
    21030814
    2103093
    21031010
    2103111
    2103126
    2103131
    2103142

    FAQ

    What is the Greatest Common Divisor of 210 and 300?

    GCF (HCF) of 210 and 300 is 30

    How to find the GCF of 210 and 300?

    You can find the GCF of 210 and 300 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 210 and 300 is 30.

    What prime factors do 210 and 300 share?

    The prime factorizations of 210 and 300 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

    How does the GCF reduce the fraction 210/300?

    Divide the numerator and the denominator by the GCF 30: 210 ÷ 30 = 7 and 300 ÷ 30 = 10. So 210/300 in lowest terms is 7/10.

    See Also