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    GCF (HCF) of 70 and 225

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 70 and 225?

    Answer

    GCF (HCF) of 70 and 225 is
    5

    Common factors: 1, 5

    5 divides both: 70 ÷ 5 = 14, 225 ÷ 5 = 45 — and 14 and 45 share no factor but 1, so no larger number divides both.

    70 = 2 × 5 × 7

    225 = 32 × 52

    Prime70225Lowest power
    22——
    3—32—
    55525
    77——

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

    GCF = 5

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    What is the GCF (HCF) of 70 and 225. The GCF of 70 and 225 is 5 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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    FAQ

    What is the Greatest Common Divisor of 70 and 225?

    GCF (HCF) of 70 and 225 is 5

    How to find the GCF of 70 and 225?

    You can find the GCF of 70 and 225 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 70 and 225 is 5.

    What prime factors do 70 and 225 share?

    The prime factorizations of 70 and 225 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

    How does the GCF reduce the fraction 70/225?

    Divide the numerator and the denominator by the GCF 5: 70 ÷ 5 = 14 and 225 ÷ 5 = 45. So 70/225 in lowest terms is 14/45.