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    GCF (HCF) of 63 and 21

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 63 and 21?

    Answer

    GCF (HCF) of 63 and 21 is
    21

    Common factors: 1, 3, 7, 21

    21 divides 63 (63 ÷ 21 = 3), so the GCF is the smaller number itself.

    63 = 32 × 7

    21 = 3 × 7

    Prime6321Lowest power
    33233
    7777

    GCF = 3 × 7 = 21

    More with these numbers

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    What is the GCF (HCF) of 63 and 21. The GCF of 63 and 21 is 21 — 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
    6363
    6377
    6381
    6399
    63101
    63111
    63123
    63131
    63147
    63153
    63161
    63171
    63189
    63191
    63201
    632121
    63221
    63231
    63243
    63251
    63261
    63279
    63287
    63291
    63303
    63311
    63321
    63333
    63341
    63357

    FAQ

    What is the Greatest Common Divisor of 63 and 21?

    GCF (HCF) of 63 and 21 is 21

    How to find the GCF of 63 and 21?

    You can find the GCF of 63 and 21 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 63 and 21 is 21.

    What prime factors do 63 and 21 share?

    The prime factorizations of 63 and 21 have 3 × 7 in common, and multiplying those shared primes gives 21 — exactly the greatest common factor.

    How does the GCF reduce the fraction 63/21?

    Divide the numerator and the denominator by the GCF 21: 63 ÷ 21 = 3 and 21 ÷ 21 = 1. So 63/21 in lowest terms is 3/1.

    See Also