Greatest Common Factor of 13080 and 13086

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 13080, 13086 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13080 and 13086 is 6.

GCF(13080,13086) = 6

GCF of 13080 and 13086

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

GCF of:
and

Greatest Common Factor of 13080 and 13086

GCF of 13080 and 13086 is 6

Prime Factorization of 13080


2 13080
2 6540
2 3270
3 1635
5 545
109 109
1

Prime factors of 13080 are 2,3,5,109. Prime factorization of 13080 in exponential form is:

13080 = 23×31×51×1091

Prime Factorization of 13086


2 13086
3 6543
3 2181
727 727
1

Prime factors of 13086 are 2,3,727. Prime factorization of 13086 in exponential form is:

13086 = 21×32×7271

∴ So by taking common prime factors GCF of 13080 and 13086 is 6

Greatest Common Factor of 13080 and 13086 by matching factors method

Factors of 13080

List of positive integer factors of 13080 that divides 13080 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,109,120,218,327,436,545,654,872,1090,1308,1635,2180,2616,3270,4360,6540,13080

Factors of 13086

List of positive integer factors of 13086 that divides 13086 without a remainder.

1,2,3,6,9,18,727,1454,2181,4362,6543,13086

Greatest Common Factor

We found the factors and prime factorization of 13080 and 13086. The biggest common factor number is the GCF number.
So the greatest common factor 13080 and 13086 is 6.

Also check out the Least Common Multiple of 13080 and 13086

Properties of GCF 13080 and 13086

(i) The GCF of 13080 and 13086 is associative

GCF of 13080 and 13086 = GCF of 13086 and 13080

Related Greatest Common Factor of 13080

Related Greatest Common Factor of 13086

Frequently Asked Questions on GCF of 13080 and 13086

1. What is the GCF of 13080 and 13086?

Answer: GCF of 13080 and 13086 is 6.

2. What are the Factors of 13080?

Answer: Factors of 13080 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 109, 120, 218, 327, 436, 545, 654, 872, 1090, 1308, 1635, 2180, 2616, 3270, 4360, 6540, 13080. There are 32 integers that are factors of 13080. The greatest factor of 13080 is 13080.

3. What are the Factors of 13086?

Answer: Factors of 13086 are 1, 2, 3, 6, 9, 18, 727, 1454, 2181, 4362, 6543, 13086. There are 12 integers that are factors of 13086. The greatest factor of 13086 is 13086.

4. How to Find the GCF of 13080 and 13086?

Answer:

Greatest Common Factor of 13080 and 13086 = 6

Step 1: Find the prime factorization of 13080

13080 = 2 x 2 x 2 x 3 x 5 x 109

Step 2: Find the prime factorization of 13086

13086 = 2 x 3 x 3 x 727

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 13080 and 13086 is 6