GCF (HCF) of 54 and 18

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What is the Greatest Common Divisor of 54 and 18?

Answer

GCF (HCF) of 54 and 18 is
18

Common factors: 1, 2, 3, 6, 9, 18

18 divides 54 (54 ÷ 18 = 3), so the GCF is the smaller number itself.

54 = 2 × 33

18 = 2 × 32

Prime5418Lowest power
2222
3333232

GCF = 2 × 32 = 18

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GCF Table

Number 1Number 2GCF
5433
5442
5451
5466
5471
5482
5499
54102
54111
54126
54131
54142
54153
54162
54171
541818
54191
54202
54213
54222
54231
54246
54251
54262
542727
54282
54291
54306
54311
54322

FAQ

What is the Greatest Common Divisor of 54 and 18?

GCF (HCF) of 54 and 18 is 18

How to find the GCF of 54 and 18?

You can find the GCF of 54 and 18 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 18 is 18.

What prime factors do 54 and 18 share?

The prime factorizations of 54 and 18 have 2 × 3 × 3 in common, and multiplying those shared primes gives 18 — exactly the greatest common factor.

How does the GCF reduce the fraction 54/18?

Divide the numerator and the denominator by the GCF 18: 54 ÷ 18 = 3 and 18 ÷ 18 = 1. So 54/18 in lowest terms is 3/1.

See Also