GCF (HCF) of 54 and 36

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What is the Greatest Common Divisor of 54 and 36?

Answer

GCF (HCF) of 54 and 36 is
18

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

18 divides both: 54 ÷ 18 = 3, 36 ÷ 18 = 2 — and 3 and 2 share no factor but 1, so no larger number divides both.

54 = 2 × 33

36 = 22 × 32

Prime5436Lowest power
22222
3333232

GCF = 2 × 32 = 18

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GCF Table

Number 1Number 2GCF
54213
54222
54231
54246
54251
54262
542727
54282
54291
54306
54311
54322
54333
54342
54351
543618
54371
54382
54393
54402
54411
54426
54431
54442
54459
54462
54471
54486
54491
54502

FAQ

What is the Greatest Common Divisor of 54 and 36?

GCF (HCF) of 54 and 36 is 18

How to find the GCF of 54 and 36?

You can find the GCF of 54 and 36 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 36 is 18.

What prime factors do 54 and 36 share?

The prime factorizations of 54 and 36 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 54/36?

Divide the numerator and the denominator by the GCF 18: 54 ÷ 18 = 3 and 36 ÷ 18 = 2. So 54/36 in lowest terms is 3/2.

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