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    GCF (HCF) of 42 and 70

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 42 and 70?

    Answer

    GCF (HCF) of 42 and 70 is
    14

    Common factors: 1, 2, 7, 14

    14 divides both: 42 ÷ 14 = 3, 70 ÷ 14 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

    42 = 2 × 3 × 7

    70 = 2 × 5 × 7

    Prime4270Lowest power
    2222
    33——
    5—5—
    7777

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

    GCF = 2 × 7 = 14

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    What is the GCF (HCF) of 42 and 70. The GCF of 42 and 70 is 14 — 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 42 and 70?

    GCF (HCF) of 42 and 70 is 14

    How to find the GCF of 42 and 70?

    You can find the GCF of 42 and 70 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 42 and 70 is 14.

    What prime factors do 42 and 70 share?

    The prime factorizations of 42 and 70 have 2 × 7 in common, and multiplying those shared primes gives 14 — exactly the greatest common factor.

    How does the GCF reduce the fraction 42/70?

    Divide the numerator and the denominator by the GCF 14: 42 ÷ 14 = 3 and 70 ÷ 14 = 5. So 42/70 in lowest terms is 3/5.