Greatest Common Factor of 13182 and 13187

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 13182, 13187 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13182 and 13187 is 1.

GCF(13182,13187) = 1

GCF of 13182 and 13187

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

GCF of:
and

Greatest Common Factor of 13182 and 13187

GCF of 13182 and 13187 is 1

Prime Factorization of 13182


2 13182
3 6591
13 2197
13 169
13 13
1

Prime factors of 13182 are 2,3,13. Prime factorization of 13182 in exponential form is:

13182 = 21×31×133

Prime Factorization of 13187


13187 13187
1

Prime factors of 13187 are 13187. Prime factorization of 13187 in exponential form is:

13187 = 131871

∴ So by taking common prime factors GCF of 13182 and 13187 is 1

Greatest Common Factor of 13182 and 13187 by matching factors method

Factors of 13182

List of positive integer factors of 13182 that divides 13182 without a remainder.

1,2,3,6,13,26,39,78,169,338,507,1014,2197,4394,6591,13182

Factors of 13187

List of positive integer factors of 13187 that divides 13187 without a remainder.

1,13187

Greatest Common Factor

We found the factors and prime factorization of 13182 and 13187. The biggest common factor number is the GCF number.
So the greatest common factor 13182 and 13187 is 1.

Also check out the Least Common Multiple of 13182 and 13187

Properties of GCF 13182 and 13187

(i) The GCF of 13182 and 13187 is associative

GCF of 13182 and 13187 = GCF of 13187 and 13182

Related Greatest Common Factor of 13182

Related Greatest Common Factor of 13187

Frequently Asked Questions on GCF of 13182 and 13187

1. What is the GCF of 13182 and 13187?

Answer: GCF of 13182 and 13187 is 1.

2. What are the Factors of 13182?

Answer: Factors of 13182 are 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014, 2197, 4394, 6591, 13182. There are 16 integers that are factors of 13182. The greatest factor of 13182 is 13182.

3. What are the Factors of 13187?

Answer: Factors of 13187 are 1, 13187. There are 2 integers that are factors of 13187. The greatest factor of 13187 is 13187.

4. How to Find the GCF of 13182 and 13187?

Answer:

Greatest Common Factor of 13182 and 13187 = 1

Step 1: Find the prime factorization of 13182

13182 = 2 x 3 x 13 x 13 x 13

Step 2: Find the prime factorization of 13187

13187 = 13187

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 13182 and 13187 is 1