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    GCF (HCF) of 200 and 300

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 200 and 300?

    Answer

    GCF (HCF) of 200 and 300 is
    100

    Common factors: 1, 2, 4, 5, 10, 20, 25, 50, 100

    100 divides both: 200 ÷ 100 = 2, 300 ÷ 100 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

    200 = 23 × 52

    300 = 22 × 3 × 52

    Prime200300Lowest power
    2232222
    3—3—
    5525252

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

    GCF = 22 × 52 = 100

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    What is the GCF (HCF) of 200 and 300. The GCF of 200 and 300 is 100 — 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
    2002855
    2002862
    2002871
    2002888
    2002891
    20029010
    2002911
    2002924
    2002931
    2002942
    2002955
    2002968
    2002971
    2002982
    2002991
    200300100
    2003011
    2003022
    2003031
    2003048
    2003055
    2003062
    2003071
    2003084
    2003091
    20031010
    2003111
    2003128
    2003131
    2003142

    FAQ

    What is the Greatest Common Divisor of 200 and 300?

    GCF (HCF) of 200 and 300 is 100

    How to find the GCF of 200 and 300?

    You can find the GCF of 200 and 300 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 200 and 300 is 100.

    What prime factors do 200 and 300 share?

    The prime factorizations of 200 and 300 have 2 × 2 × 5 × 5 in common, and multiplying those shared primes gives 100 — exactly the greatest common factor.

    How does the GCF reduce the fraction 200/300?

    Divide the numerator and the denominator by the GCF 100: 200 ÷ 100 = 2 and 300 ÷ 100 = 3. So 200/300 in lowest terms is 2/3.

    See Also