GCF (HCF) of 81 and 126

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What is the Greatest Common Divisor of 81 and 126?

Answer

GCF (HCF) of 81 and 126 is
9

Common factors: 1, 3, 9

9 divides both: 81 ÷ 9 = 9, 126 ÷ 9 = 14 — and 9 and 14 share no factor but 1, so no larger number divides both.

81 = 34

126 = 2 × 32 × 7

Prime81126Lowest power
2—2—
3343232
7—7—

— = 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
811113
811121
811131
811143
811151
811161
811179
811181
811191
811203
811211
811221
811233
811241
811251
811269
811271
811281
811293
811301
811311
811323
811331
811341
8113527
811361
811371
811383
811391
811401

FAQ

What is the Greatest Common Divisor of 81 and 126?

GCF (HCF) of 81 and 126 is 9

How to find the GCF of 81 and 126?

You can find the GCF of 81 and 126 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 81 and 126 is 9.

What prime factors do 81 and 126 share?

The prime factorizations of 81 and 126 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.

How does the GCF reduce the fraction 81/126?

Divide the numerator and the denominator by the GCF 9: 81 ÷ 9 = 9 and 126 ÷ 9 = 14. So 81/126 in lowest terms is 9/14.

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