GCF (HCF) of 36 and 162

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 36 and 162?

Answer

GCF (HCF) of 36 and 162 is

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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Related Calculations

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.

GCF (HCF) of 36 and 162

What is the Greatest Common Divisor of 36 and 162?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 36 and 162?

How to find the GCF of 36 and 162?

What prime factors do 36 and 162 share?

How does the GCF reduce the fraction 36/162?

See Also

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

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

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