GCF (HCF) of 54 and 81

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 54 and 81?

Answer

GCF (HCF) of 54 and 81 is
27

Common factors: 1, 3, 9, 27

27 divides both: 54 ÷ 27 = 2, 81 ÷ 27 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

54 = 2 × 33

81 = 34

Prime5481Lowest power
22——
3333433

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

GCF = 33 = 27

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
54666
54671
54682
54693
54702
54711
547218
54731
54742
54753
54762
54771
54786
54791
54802
548127
54822
54831
54846
54851
54862
54873
54882
54891
549018
54911
54922
54933
54942
54951

FAQ

What is the Greatest Common Divisor of 54 and 81?

GCF (HCF) of 54 and 81 is 27

How to find the GCF of 54 and 81?

You can find the GCF of 54 and 81 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 81 is 27.

What prime factors do 54 and 81 share?

The prime factorizations of 54 and 81 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 54/81?

Divide the numerator and the denominator by the GCF 27: 54 ÷ 27 = 2 and 81 ÷ 27 = 3. So 54/81 in lowest terms is 2/3.

See Also