Greatest Common Factor of 171 and 174

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 171, 174 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 171 and 174 is 3.

GCF(171,174) = 3

GCF of 171 and 174

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

GCF of:
and

Greatest Common Factor of 171 and 174

GCF of 171 and 174 is 3

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

Prime Factorization of 174


2 174
3 87
29 29
1

Prime factors of 174 are 2,3,29. Prime factorization of 174 in exponential form is:

174 = 21×31×291

∴ So by taking common prime factors GCF of 171 and 174 is 3

Greatest Common Factor of 171 and 174 by matching factors method

Factors of 171

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

1,3,9,19,57,171

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors and prime factorization of 171 and 174. The biggest common factor number is the GCF number.
So the greatest common factor 171 and 174 is 3.

Also check out the Least Common Multiple of 171 and 174

Properties of GCF 171 and 174

(i) The GCF of 171 and 174 is associative

GCF of 171 and 174 = GCF of 174 and 171

Related Greatest Common Factor of 171

Related Greatest Common Factor of 174

Frequently Asked Questions on GCF of 171 and 174

1. What is the GCF of 171 and 174?

Answer: GCF of 171 and 174 is 3.

2. 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.

3. What are the Factors of 174?

Answer: Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. There are 8 integers that are factors of 174. The greatest factor of 174 is 174.

4. How to Find the GCF of 171 and 174?

Answer:

Greatest Common Factor of 171 and 174 = 3

Step 1: Find the prime factorization of 171

171 = 3 x 3 x 19

Step 2: Find the prime factorization of 174

174 = 2 x 3 x 29

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 171 and 174 is 3