Greatest Common Factor of 13161 and 13167

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 13161, 13167 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13161 and 13167 is 3.

GCF(13161,13167) = 3

GCF of 13161 and 13167

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

GCF of:
and

Greatest Common Factor of 13161 and 13167

GCF of 13161 and 13167 is 3

Prime Factorization of 13161


3 13161
41 4387
107 107
1

Prime factors of 13161 are 3,41,107. Prime factorization of 13161 in exponential form is:

13161 = 31×411×1071

Prime Factorization of 13167


3 13167
3 4389
7 1463
11 209
19 19
1

Prime factors of 13167 are 3,7,11,19. Prime factorization of 13167 in exponential form is:

13167 = 32×71×111×191

∴ So by taking common prime factors GCF of 13161 and 13167 is 3

Greatest Common Factor of 13161 and 13167 by matching factors method

Factors of 13161

List of positive integer factors of 13161 that divides 13161 without a remainder.

1,3,41,107,123,321,4387,13161

Factors of 13167

List of positive integer factors of 13167 that divides 13167 without a remainder.

1,3,7,9,11,19,21,33,57,63,77,99,133,171,209,231,399,627,693,1197,1463,1881,4389,13167

Greatest Common Factor

We found the factors and prime factorization of 13161 and 13167. The biggest common factor number is the GCF number.
So the greatest common factor 13161 and 13167 is 3.

Also check out the Least Common Multiple of 13161 and 13167

Properties of GCF 13161 and 13167

(i) The GCF of 13161 and 13167 is associative

GCF of 13161 and 13167 = GCF of 13167 and 13161

Related Greatest Common Factor of 13161

Related Greatest Common Factor of 13167

Frequently Asked Questions on GCF of 13161 and 13167

1. What is the GCF of 13161 and 13167?

Answer: GCF of 13161 and 13167 is 3.

2. What are the Factors of 13161?

Answer: Factors of 13161 are 1, 3, 41, 107, 123, 321, 4387, 13161. There are 8 integers that are factors of 13161. The greatest factor of 13161 is 13161.

3. What are the Factors of 13167?

Answer: Factors of 13167 are 1, 3, 7, 9, 11, 19, 21, 33, 57, 63, 77, 99, 133, 171, 209, 231, 399, 627, 693, 1197, 1463, 1881, 4389, 13167. There are 24 integers that are factors of 13167. The greatest factor of 13167 is 13167.

4. How to Find the GCF of 13161 and 13167?

Answer:

Greatest Common Factor of 13161 and 13167 = 3

Step 1: Find the prime factorization of 13161

13161 = 3 x 41 x 107

Step 2: Find the prime factorization of 13167

13167 = 3 x 3 x 7 x 11 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 13161 and 13167 is 3