GCF (HCF) of 36 and 54

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What is the Greatest Common Divisor of 36 and 54?

Answer

GCF (HCF) of 36 and 54 is
18

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

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

36 = 22 × 32

54 = 2 × 33

Prime3654Lowest power
22222
3323332

GCF = 2 × 32 = 18

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GCF Table

Number 1Number 2GCF
36371
36382
36393
36404
36426
36431
36444
36459
36462
36471
364812
36491
36502
36513
36531
365418
36551
36564
36591
366012
36639
36644
36666
36804
36819
368412
369018
361004
3612012
361211

FAQ

What is the Greatest Common Divisor of 36 and 54?

GCF (HCF) of 36 and 54 is 18

How to find the GCF of 36 and 54?

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

What prime factors do 36 and 54 share?

The prime factorizations of 36 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 36/54?

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

See Also