GCF (HCF) of 63 and 77

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What is the Greatest Common Divisor of 63 and 77?

Answer

GCF (HCF) of 63 and 77 is
7

Common factors: 1, 7

7 divides both: 63 ÷ 7 = 9, 77 ÷ 7 = 11 — and 9 and 11 share no factor but 1, so no larger number divides both.

63 = 32 × 7

77 = 7 × 11

Prime6377Lowest power
332——
7777
11—11—

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

GCF = 7

See Also

GCF Table

Number 1Number 2GCF
63621
636363
63641
63651
63663
63671
63681
63693
63707
63711
63729
63731
63741
63753
63761
63777
63783
63791
63801
63819
63821
63831
638421
63851
63861
63873
63881
63891
63909
63917

FAQ

What is the Greatest Common Divisor of 63 and 77?

GCF (HCF) of 63 and 77 is 7

How to find the GCF of 63 and 77?

You can find the GCF of 63 and 77 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 63 and 77 is 7.

What prime factors do 63 and 77 share?

The prime factorizations of 63 and 77 have 7 in common, and multiplying those shared primes gives 7 — exactly the greatest common factor.

How does the GCF reduce the fraction 63/77?

Divide the numerator and the denominator by the GCF 7: 63 ÷ 7 = 9 and 77 ÷ 7 = 11. So 63/77 in lowest terms is 9/11.