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    GCF (HCF) of 20 and 28

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 20 and 28?

    Answer

    GCF (HCF) of 20 and 28 is
    4

    Common factors: 1, 2, 4

    4 divides both: 20 ÷ 4 = 5, 28 ÷ 4 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.

    20 = 22 × 5

    28 = 22 × 7

    Prime2028Lowest power
    2222222
    55——
    7—7—

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

    GCF = 22 = 4

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    What is the GCF (HCF) of 20 and 28. The GCF of 20 and 28 is 4 — 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 20 and 28?

    GCF (HCF) of 20 and 28 is 4

    How to find the GCF of 20 and 28?

    You can find the GCF of 20 and 28 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 20 and 28 is 4.

    What prime factors do 20 and 28 share?

    The prime factorizations of 20 and 28 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 20/28?

    Divide the numerator and the denominator by the GCF 4: 20 ÷ 4 = 5 and 28 ÷ 4 = 7. So 20/28 in lowest terms is 5/7.