Greatest Common Factor of 171 and 173

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, 173 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 171 and 173 is 1.

GCF(171,173) = 1

GCF of 171 and 173

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

GCF of:
and

Greatest Common Factor of 171 and 173

GCF of 171 and 173 is 1

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 173


173 173
1

Prime factors of 173 are 173. Prime factorization of 173 in exponential form is:

173 = 1731

∴ So by taking common prime factors GCF of 171 and 173 is 1

Greatest Common Factor of 171 and 173 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 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors and prime factorization of 171 and 173. The biggest common factor number is the GCF number.
So the greatest common factor 171 and 173 is 1.

Also check out the Least Common Multiple of 171 and 173

Properties of GCF 171 and 173

(i) The GCF of 171 and 173 is associative

GCF of 171 and 173 = GCF of 173 and 171

Related Greatest Common Factor of 171

Related Greatest Common Factor of 173

Frequently Asked Questions on GCF of 171 and 173

1. What is the GCF of 171 and 173?

Answer: GCF of 171 and 173 is 1.

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 173?

Answer: Factors of 173 are 1, 173. There are 2 integers that are factors of 173. The greatest factor of 173 is 173.

4. How to Find the GCF of 171 and 173?

Answer:

Greatest Common Factor of 171 and 173 = 1

Step 1: Find the prime factorization of 171

171 = 3 x 3 x 19

Step 2: Find the prime factorization of 173

173 = 173

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 171 and 173 is 1