Greatest Common Factor of 165 and 171

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 165, 171 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 165 and 171 is 3.

GCF(165,171) = 3

GCF of 165 and 171

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

GCF of:
and

Greatest Common Factor of 165 and 171

GCF of 165 and 171 is 3

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

Prime Factorization of 171


3 171
3 57
19 19
1

Prime factors of 171 are 3,19. Prime factorization of 171 in exponential form is:

171 = 32×191

∴ So by taking common prime factors GCF of 165 and 171 is 3

Greatest Common Factor of 165 and 171 by matching factors method

Factors of 165

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

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

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors and prime factorization of 165 and 171. The biggest common factor number is the GCF number.
So the greatest common factor 165 and 171 is 3.

Also check out the Least Common Multiple of 165 and 171

Properties of GCF 165 and 171

(i) The GCF of 165 and 171 is associative

GCF of 165 and 171 = GCF of 171 and 165

Related Greatest Common Factor of 165

Related Greatest Common Factor of 171

Frequently Asked Questions on GCF of 165 and 171

1. What is the GCF of 165 and 171?

Answer: GCF of 165 and 171 is 3.

2. 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.

3. What are the Factors of 171?

Answer: Factors of 171 are 1, 3, 9, 19, 57, 171. There are 6 integers that are factors of 171. The greatest factor of 171 is 171.

4. How to Find the GCF of 165 and 171?

Answer:

Greatest Common Factor of 165 and 171 = 3

Step 1: Find the prime factorization of 165

165 = 3 x 5 x 11

Step 2: Find the prime factorization of 171

171 = 3 x 3 x 19

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 165 and 171 is 3