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GCF (HCF) of 36 and 18

"Greatest Common Factor" Calculator

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

Prime	36	18	Lowest power
2	2²	2	2
3	3²	3²	3²

GCF = 2 × 3² = 18

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 36 and 18. The GCF of 36 and 18 is 18 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

https://calculat.io/en/number/greatest-common-factor-of/36--18/generated.jpg

GCF Table

Number 1	Number 2	GCF
36	3	3
36	18	18
36	24	12
36	27	9
36	28	4
36	37	1
36	38	2
36	39	3
36	40	4
36	42	6
36	43	1
36	44	4
36	45	9
36	46	2
36	47	1
36	48	12
36	49	1
36	50	2
36	51	3
36	53	1
36	54	18
36	55	1
36	56	4
36	59	1
36	60	12
36	63	9
36	64	4
36	66	6
36	80	4
36	81	9

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.