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    GCF (HCF) of 8 and 21

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 8 and 21?

    Answer

    GCF (HCF) of 8 and 21 is
    1

    Common factors: 1

    Only 1 divides both: 8 and 21 share no prime factor.

    Such numbers are called coprime (relatively prime); their LCM is just the product: 8 × 21 = 168.

    8 = 23

    21 = 3 × 7

    Prime821Lowest power
    223——
    3—3—
    7—7—

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

    GCF = 1

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    What is the GCF (HCF) of 8 and 21. The GCF of 8 and 21 is 1 — 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 8 and 21?

    GCF (HCF) of 8 and 21 is 1

    How to find the GCF of 8 and 21?

    You can find the GCF of 8 and 21 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 21 is 1.

    What prime factors do 8 and 21 share?

    8 and 21 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

    How does the GCF reduce the fraction 8/21?

    Divide the numerator and the denominator by the GCF 1: 8 ÷ 1 = 8 and 21 ÷ 1 = 21. So 8/21 in lowest terms is 8/21.

    Are 8 and 21 coprime?

    Yes, 8 and 21 are coprime (relatively prime) because their Greatest Common Factor is 1.