Greatest Common Factor of 15167 and 15171

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 15167, 15171 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15167 and 15171 is 1.

GCF(15167,15171) = 1

GCF of 15167 and 15171

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

GCF of:
and

Greatest Common Factor of 15167 and 15171

GCF of 15167 and 15171 is 1

Prime Factorization of 15167


29 15167
523 523
1

Prime factors of 15167 are 29,523. Prime factorization of 15167 in exponential form is:

15167 = 291×5231

Prime Factorization of 15171


3 15171
13 5057
389 389
1

Prime factors of 15171 are 3,13,389. Prime factorization of 15171 in exponential form is:

15171 = 31×131×3891

∴ So by taking common prime factors GCF of 15167 and 15171 is 1

Greatest Common Factor of 15167 and 15171 by matching factors method

Factors of 15167

List of positive integer factors of 15167 that divides 15167 without a remainder.

1,29,523,15167

Factors of 15171

List of positive integer factors of 15171 that divides 15171 without a remainder.

1,3,13,39,389,1167,5057,15171

Greatest Common Factor

We found the factors and prime factorization of 15167 and 15171. The biggest common factor number is the GCF number.
So the greatest common factor 15167 and 15171 is 1.

Also check out the Least Common Multiple of 15167 and 15171

Properties of GCF 15167 and 15171

(i) The GCF of 15167 and 15171 is associative

GCF of 15167 and 15171 = GCF of 15171 and 15167

Frequently Asked Questions on GCF of 15167 and 15171

1. What is the GCF of 15167 and 15171?

Answer: GCF of 15167 and 15171 is 1.

2. What are the Factors of 15167?

Answer: Factors of 15167 are 1, 29, 523, 15167. There are 4 integers that are factors of 15167. The greatest factor of 15167 is 15167.

3. What are the Factors of 15171?

Answer: Factors of 15171 are 1, 3, 13, 39, 389, 1167, 5057, 15171. There are 8 integers that are factors of 15171. The greatest factor of 15171 is 15171.

4. How to Find the GCF of 15167 and 15171?

Answer:

Greatest Common Factor of 15167 and 15171 = 1

Step 1: Find the prime factorization of 15167

15167 = 29 x 523

Step 2: Find the prime factorization of 15171

15171 = 3 x 13 x 389

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 15167 and 15171 is 1