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GCF (HCF) of 36 and 162

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What is the Greatest Common Divisor of 36 and 162?

Answer

GCF (HCF) of 36 and 162 is

18

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

18 divides both: 36 ÷ 18 = 2, 162 ÷ 18 = 9 — and 2 and 9 share no factor but 1, so no larger number divides both.

36 = 2² × 3²

162 = 2 × 3⁴

Prime	36	162	Lowest power
2	2²	2	2
3	3²	3⁴	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 162. The GCF of 36 and 162 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--162/generated.jpg

GCF Table

Number 1	Number 2	GCF
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
36	84	12
36	90	18
36	100	4
36	120	12
36	121	1
36	132	12
36	144	36
36	162	18
36	900	36

FAQ

What is the Greatest Common Divisor of 36 and 162?

GCF (HCF) of 36 and 162 is 18

How to find the GCF of 36 and 162?

You can find the GCF of 36 and 162 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 36 and 162 is 18.

What prime factors do 36 and 162 share?

The prime factorizations of 36 and 162 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 36/162?

Divide the numerator and the denominator by the GCF 18: 36 ÷ 18 = 2 and 162 ÷ 18 = 9. So 36/162 in lowest terms is 2/9.