GCF (HCF) of 63 and 84

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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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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.

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