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    GCF (HCF) of 21 and 27

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 21 and 27?

    Answer

    GCF (HCF) of 21 and 27 is
    3

    Common factors: 1, 3

    3 divides both: 21 ÷ 3 = 7, 27 ÷ 3 = 9 — and 7 and 9 share no factor but 1, so no larger number divides both.

    21 = 3 × 7

    27 = 33

    Prime2127Lowest power
    33333
    77——

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

    GCF = 3

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    What is the GCF (HCF) of 21 and 27. The GCF of 21 and 27 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
    21153
    21221
    21243
    21251
    21261
    21273
    21287
    21303
    21321
    21333
    21357
    21363
    21371
    21381
    21393
    21401
    214221
    21441
    21453
    21461
    21483
    21497
    21501
    21513
    21543
    21567
    21603
    21693
    21801
    218421

    FAQ

    What is the Greatest Common Divisor of 21 and 27?

    GCF (HCF) of 21 and 27 is 3

    How to find the GCF of 21 and 27?

    You can find the GCF of 21 and 27 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 21 and 27 is 3.

    What prime factors do 21 and 27 share?

    The prime factorizations of 21 and 27 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

    How does the GCF reduce the fraction 21/27?

    Divide the numerator and the denominator by the GCF 3: 21 ÷ 3 = 7 and 27 ÷ 3 = 9. So 21/27 in lowest terms is 7/9.

    See Also