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    GCF (HCF) of 6 and 42

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 6 and 42?

    Answer

    GCF (HCF) of 6 and 42 is
    6

    Common factors: 1, 2, 3, 6

    6 divides 42 (42 ÷ 6 = 7), so the GCF is the smaller number itself.

    6 = 2 × 3

    42 = 2 × 3 × 7

    Prime642Lowest power
    2222
    3333
    7—7—

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

    GCF = 2 × 3 = 6

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    What is the GCF (HCF) of 6 and 42. The GCF of 6 and 42 is 6 — 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 6 and 42?

    GCF (HCF) of 6 and 42 is 6

    How to find the GCF of 6 and 42?

    You can find the GCF of 6 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 42 is 6.

    What prime factors do 6 and 42 share?

    The prime factorizations of 6 and 42 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

    How does the GCF reduce the fraction 6/42?

    Divide the numerator and the denominator by the GCF 6: 6 ÷ 6 = 1 and 42 ÷ 6 = 7. So 6/42 in lowest terms is 1/7.