GCF (HCF) of 81 and 132

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Greatest Common Factor of
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What is the Greatest Common Divisor of 81 and 132?

Answer

GCF (HCF) of 81 and 132 is
3

Common factors: 1, 3

3 divides both: 81 ÷ 3 = 27, 132 ÷ 3 = 44 — and 27 and 44 share no factor but 1, so no larger number divides both.

81 = 34

132 = 22 × 3 × 11

Prime81132Lowest power
2—22—
33433
11—11—

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

GCF = 3

See Also

GCF Table

Number 1Number 2GCF
811179
811181
811191
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

FAQ

What is the Greatest Common Divisor of 81 and 132?

GCF (HCF) of 81 and 132 is 3

How to find the GCF of 81 and 132?

You can find the GCF of 81 and 132 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 81 and 132 is 3.

What prime factors do 81 and 132 share?

The prime factorizations of 81 and 132 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 81/132?

Divide the numerator and the denominator by the GCF 3: 81 ÷ 3 = 27 and 132 ÷ 3 = 44. So 81/132 in lowest terms is 27/44.