Greatest Common Factor of 162 and 165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 162, 165 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 162 and 165 is 3.

GCF(162,165) = 3

GCF of 162 and 165

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 162 and 165

GCF of 162 and 165 is 3

Prime Factorization of 162


2 162
3 81
3 27
3 9
3 3
1

Prime factors of 162 are 2,3. Prime factorization of 162 in exponential form is:

162 = 21×34

Prime Factorization of 165


3 165
5 55
11 11
1

Prime factors of 165 are 3,5,11. Prime factorization of 165 in exponential form is:

165 = 31×51×111

∴ So by taking common prime factors GCF of 162 and 165 is 3

Greatest Common Factor of 162 and 165 by matching factors method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors and prime factorization of 162 and 165. The biggest common factor number is the GCF number.
So the greatest common factor 162 and 165 is 3.

Also check out the Least Common Multiple of 162 and 165

Properties of GCF 162 and 165

(i) The GCF of 162 and 165 is associative

GCF of 162 and 165 = GCF of 165 and 162

Related Greatest Common Factor of 162

Related Greatest Common Factor of 165

Frequently Asked Questions on GCF of 162 and 165

1. What is the GCF of 162 and 165?

Answer: GCF of 162 and 165 is 3.

2. What are the Factors of 162?

Answer: Factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162. There are 10 integers that are factors of 162. The greatest factor of 162 is 162.

3. What are the Factors of 165?

Answer: Factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165. There are 8 integers that are factors of 165. The greatest factor of 165 is 165.

4. How to Find the GCF of 162 and 165?

Answer:

Greatest Common Factor of 162 and 165 = 3

Step 1: Find the prime factorization of 162

162 = 2 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 165

165 = 3 x 5 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 162 and 165 is 3