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    GCF (HCF) of 70 and 300

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 70 and 300?

    Answer

    GCF (HCF) of 70 and 300 is
    10

    Common factors: 1, 2, 5, 10

    10 divides both: 70 ÷ 10 = 7, 300 ÷ 10 = 30 — and 7 and 30 share no factor but 1, so no larger number divides both.

    70 = 2 × 5 × 7

    300 = 22 × 3 × 52

    Prime70300Lowest power
    22222
    3—3—
    55525
    77——

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

    GCF = 2 × 5 = 10

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    What is the GCF (HCF) of 70 and 300. The GCF of 70 and 300 is 10 — 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
    7016010
    7017535
    701855
    702055
    702155
    7022010
    702255
    7023010
    702355
    7025010
    702555
    7026010
    7027010
    7028070
    7029010
    7030010
    703055
    7031010
    7031535
    7032010
    703455
    7037010
    7038010
    7038535
    7039010
    7040010
    7043010
    7045010
    7045535
    7049070

    FAQ

    What is the Greatest Common Divisor of 70 and 300?

    GCF (HCF) of 70 and 300 is 10

    How to find the GCF of 70 and 300?

    You can find the GCF of 70 and 300 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 70 and 300 is 10.

    What prime factors do 70 and 300 share?

    The prime factorizations of 70 and 300 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

    How does the GCF reduce the fraction 70/300?

    Divide the numerator and the denominator by the GCF 10: 70 ÷ 10 = 7 and 300 ÷ 10 = 30. So 70/300 in lowest terms is 7/30.

    See Also