GCF (HCF) of 81 and 117

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What is the Greatest Common Divisor of 81 and 117?

Answer

GCF (HCF) of 81 and 117 is
9

Common factors: 1, 3, 9

9 divides both: 81 ÷ 9 = 9, 117 ÷ 9 = 13 — and 9 and 13 share no factor but 1, so no larger number divides both.

81 = 34

117 = 32 × 13

Prime81117Lowest power
3343232
13—13—

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

GCF = 32 = 9

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GCF Table

Number 1Number 2GCF
811023
811031
811041
811053
811061
811071
8110827
811091
811101
811113
811121
811131
811143
811151
811161
811179
811181
811191
811203
811211
811221
811233
811241
811251
811269
811271
811281
811293
811301
811311

FAQ

What is the Greatest Common Divisor of 81 and 117?

GCF (HCF) of 81 and 117 is 9

How to find the GCF of 81 and 117?

You can find the GCF of 81 and 117 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 81 and 117 is 9.

What prime factors do 81 and 117 share?

The prime factorizations of 81 and 117 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.

How does the GCF reduce the fraction 81/117?

Divide the numerator and the denominator by the GCF 9: 81 ÷ 9 = 9 and 117 ÷ 9 = 13. So 81/117 in lowest terms is 9/13.

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