GCF (HCF) of 81 and 135

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What is the Greatest Common Divisor of 81 and 135?

Answer

GCF (HCF) of 81 and 135 is
27

Common factors: 1, 3, 9, 27

27 divides both: 81 ÷ 27 = 3, 135 ÷ 27 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

81 = 34

135 = 33 × 5

Prime81135Lowest power
3343333
5—5—

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

GCF = 33 = 27

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GCF Table

Number 1Number 2GCF
811203
811211
811221
811233
811241
811251
811269
811271
811281
811293
811301
811311
811323
811331
811341
8113527
811361
811371
811383
811391
811401
811413
811421
811431
811449
811451
811461
811473
811481
811491

FAQ

What is the Greatest Common Divisor of 81 and 135?

GCF (HCF) of 81 and 135 is 27

How to find the GCF of 81 and 135?

You can find the GCF of 81 and 135 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 81 and 135 is 27.

What prime factors do 81 and 135 share?

The prime factorizations of 81 and 135 have 3 × 3 × 3 in common, and multiplying those shared primes gives 27 — exactly the greatest common factor.

How does the GCF reduce the fraction 81/135?

Divide the numerator and the denominator by the GCF 27: 81 ÷ 27 = 3 and 135 ÷ 27 = 5. So 81/135 in lowest terms is 3/5.

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