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    GCF (HCF) of 35 and 150

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 35 and 150?

    Answer

    GCF (HCF) of 35 and 150 is
    5

    Common factors: 1, 5

    5 divides both: 35 ÷ 5 = 7, 150 ÷ 5 = 30 — and 7 and 30 share no factor but 1, so no larger number divides both.

    35 = 5 × 7

    150 = 2 × 3 × 52

    Prime35150Lowest power
    2—2—
    3—3—
    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 35 and 150. The GCF of 35 and 150 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 35 and 150?

    GCF (HCF) of 35 and 150 is 5

    How to find the GCF of 35 and 150?

    You can find the GCF of 35 and 150 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 35 and 150 is 5.

    What prime factors do 35 and 150 share?

    The prime factorizations of 35 and 150 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

    How does the GCF reduce the fraction 35/150?

    Divide the numerator and the denominator by the GCF 5: 35 ÷ 5 = 7 and 150 ÷ 5 = 30. So 35/150 in lowest terms is 7/30.