GCF (HCF) of 9 and 63

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What is the Greatest Common Divisor of 9 and 63?

Answer

GCF (HCF) of 9 and 63 is
9

Common factors: 1, 3, 9

9 divides 63 (63 ÷ 9 = 7), so the GCF is the smaller number itself.

9 = 32

63 = 32 × 7

Prime963Lowest power
3323232
7—7—

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

GCF = 32 = 9

See Also

FAQ

What is the Greatest Common Divisor of 9 and 63?

GCF (HCF) of 9 and 63 is 9

How to find the GCF of 9 and 63?

You can find the GCF of 9 and 63 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 63 is 9.

What prime factors do 9 and 63 share?

The prime factorizations of 9 and 63 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.

How does the GCF reduce the fraction 9/63?

Divide the numerator and the denominator by the GCF 9: 9 ÷ 9 = 1 and 63 ÷ 9 = 7. So 9/63 in lowest terms is 1/7.