Greatest Common Factor of 13176 and 13182

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 13176, 13182 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13176 and 13182 is 6.

GCF(13176,13182) = 6

GCF of 13176 and 13182

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

GCF of:
and

Greatest Common Factor of 13176 and 13182

GCF of 13176 and 13182 is 6

Prime Factorization of 13176


2 13176
2 6588
2 3294
3 1647
3 549
3 183
61 61
1

Prime factors of 13176 are 2,3,61. Prime factorization of 13176 in exponential form is:

13176 = 23×33×611

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

∴ So by taking common prime factors GCF of 13176 and 13182 is 6

Greatest Common Factor of 13176 and 13182 by matching factors method

Factors of 13176

List of positive integer factors of 13176 that divides 13176 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,61,72,108,122,183,216,244,366,488,549,732,1098,1464,1647,2196,3294,4392,6588,13176

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

Greatest Common Factor

We found the factors and prime factorization of 13176 and 13182. The biggest common factor number is the GCF number.
So the greatest common factor 13176 and 13182 is 6.

Also check out the Least Common Multiple of 13176 and 13182

Properties of GCF 13176 and 13182

(i) The GCF of 13176 and 13182 is associative

GCF of 13176 and 13182 = GCF of 13182 and 13176

Related Greatest Common Factor of 13176

Related Greatest Common Factor of 13182

Frequently Asked Questions on GCF of 13176 and 13182

1. What is the GCF of 13176 and 13182?

Answer: GCF of 13176 and 13182 is 6.

2. What are the Factors of 13176?

Answer: Factors of 13176 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 61, 72, 108, 122, 183, 216, 244, 366, 488, 549, 732, 1098, 1464, 1647, 2196, 3294, 4392, 6588, 13176. There are 32 integers that are factors of 13176. The greatest factor of 13176 is 13176.

3. 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.

4. How to Find the GCF of 13176 and 13182?

Answer:

Greatest Common Factor of 13176 and 13182 = 6

Step 1: Find the prime factorization of 13176

13176 = 2 x 2 x 2 x 3 x 3 x 3 x 61

Step 2: Find the prime factorization of 13182

13182 = 2 x 3 x 13 x 13 x 13

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 13176 and 13182 is 6