GCF (HCF) of 18 and 54

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What is the Greatest Common Divisor of 18 and 54?

Answer

GCF (HCF) of 18 and 54 is
18

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

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

18 = 2 × 32

54 = 2 × 33

Prime1854Lowest power
2222
3323332

GCF = 2 × 32 = 18

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GCF Table

Number 1Number 2GCF
18351
183618
18371
18382
18393
18402
18426
18431
18459
18462
18471
18486
18491
18502
18513
185418
18551
18562
18582
18591
18606
18639
18642
18666
18702
187218
18753
18786
18802
18819

FAQ

What is the Greatest Common Divisor of 18 and 54?

GCF (HCF) of 18 and 54 is 18

How to find the GCF of 18 and 54?

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

What prime factors do 18 and 54 share?

The prime factorizations of 18 and 54 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 18/54?

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

See Also