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    GCF (HCF) of 63 and 84

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 63 and 84?

    Answer

    GCF (HCF) of 63 and 84 is
    21

    Common factors: 1, 3, 7, 21

    21 divides both: 63 ÷ 21 = 3, 84 ÷ 21 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

    63 = 32 × 7

    84 = 22 × 3 × 7

    Prime6384Lowest power
    2—22—
    33233
    7777

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

    GCF = 3 × 7 = 21

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    What is the GCF (HCF) of 63 and 84. The GCF of 63 and 84 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
    63693
    63707
    63711
    63729
    63731
    63741
    63753
    63761
    63777
    63783
    63791
    63801
    63819
    63821
    63831
    638421
    63851
    63861
    63873
    63881
    63891
    63909
    63917
    63921
    63933
    63941
    63951
    63963
    63971
    63987

    FAQ

    What is the Greatest Common Divisor of 63 and 84?

    GCF (HCF) of 63 and 84 is 21

    How to find the GCF of 63 and 84?

    You can find the GCF of 63 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 63 and 84 is 21.

    What prime factors do 63 and 84 share?

    The prime factorizations of 63 and 84 have 3 × 7 in common, and multiplying those shared primes gives 21 — exactly the greatest common factor.

    How does the GCF reduce the fraction 63/84?

    Divide the numerator and the denominator by the GCF 21: 63 ÷ 21 = 3 and 84 ÷ 21 = 4. So 63/84 in lowest terms is 3/4.

    See Also