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    GCF (HCF) of 3 and 21

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 3 and 21?

    Answer

    GCF (HCF) of 3 and 21 is
    3

    Common factors: 1, 3

    3 divides 21 (21 ÷ 3 = 7), so the GCF is the smaller number itself.

    3 — prime

    21 = 3 × 7

    Prime321Lowest power
    3333
    7—7—

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

    GCF = 3

    More with these numbers

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    What is the GCF (HCF) of 3 and 21. The GCF of 3 and 21 is 3 — 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
    341
    351
    363
    371
    381
    393
    3101
    3111
    3123
    3141
    3153
    3161
    3171
    3183
    3191
    3213
    3221
    3243
    3251
    3273
    3303
    3341
    3363
    3423
    3453
    3461
    3471
    3483
    3513
    3543

    FAQ

    What is the Greatest Common Divisor of 3 and 21?

    GCF (HCF) of 3 and 21 is 3

    How to find the GCF of 3 and 21?

    You can find the GCF of 3 and 21 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 3 and 21 is 3.

    What prime factors do 3 and 21 share?

    The prime factorizations of 3 and 21 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

    How does the GCF reduce the fraction 3/21?

    Divide the numerator and the denominator by the GCF 3: 3 ÷ 3 = 1 and 21 ÷ 3 = 7. So 3/21 in lowest terms is 1/7.

    See Also