GCF (HCF) of 36 and 18

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What is the Greatest Common Divisor of 36 and 18?

Answer

GCF (HCF) of 36 and 18 is
18

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

18 divides 36 (36 ÷ 18 = 2), so the GCF is the smaller number itself.

36 = 22 × 32

18 = 2 × 32

Prime3618Lowest power
22222
3323232

GCF = 2 × 32 = 18

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GCF Table

Number 1Number 2GCF
3633
361818
362412
36279
36284
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

FAQ

What is the Greatest Common Divisor of 36 and 18?

GCF (HCF) of 36 and 18 is 18

How to find the GCF of 36 and 18?

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

What prime factors do 36 and 18 share?

The prime factorizations of 36 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 36/18?

Divide the numerator and the denominator by the GCF 18: 36 ÷ 18 = 2 and 18 ÷ 18 = 1. So 36/18 in lowest terms is 2/1.

See Also