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    GCF (HCF) of 220 and 420

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 220 and 420?

    Answer

    GCF (HCF) of 220 and 420 is
    20

    Common factors: 1, 2, 4, 5, 10, 20

    20 divides both: 220 ÷ 20 = 11, 420 ÷ 20 = 21 — and 11 and 21 share no factor but 1, so no larger number divides both.

    220 = 22 × 5 × 11

    420 = 22 × 3 × 5 × 7

    Prime220420Lowest power
    2222222
    3—3—
    5555
    7—7—
    1111——

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

    GCF = 22 × 5 = 20

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    What is the GCF (HCF) of 220 and 420. The GCF of 220 and 420 is 20 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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    GCF Table

    Number 1Number 2GCF
    2204055
    2204062
    22040711
    2204084
    2204091
    22041010
    2204111
    2204124
    2204131
    2204142
    2204155
    2204164
    2204171
    22041822
    2204191
    22042020
    2204211
    2204222
    2204231
    2204244
    2204255
    2204262
    2204271
    2204284
    22042911
    22043010
    2204311
    2204324
    2204331
    2204342

    FAQ

    What is the Greatest Common Divisor of 220 and 420?

    GCF (HCF) of 220 and 420 is 20

    How to find the GCF of 220 and 420?

    You can find the GCF of 220 and 420 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 220 and 420 is 20.

    What prime factors do 220 and 420 share?

    The prime factorizations of 220 and 420 have 2 × 2 × 5 in common, and multiplying those shared primes gives 20 — exactly the greatest common factor.

    How does the GCF reduce the fraction 220/420?

    Divide the numerator and the denominator by the GCF 20: 220 ÷ 20 = 11 and 420 ÷ 20 = 21. So 220/420 in lowest terms is 11/21.

    See Also