Greatest Common Factor of 13080 and 13085

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, 13085 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13080 and 13085 is 5.

GCF(13080,13085) = 5

GCF of 13080 and 13085

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

GCF of:
and

Greatest Common Factor of 13080 and 13085

GCF of 13080 and 13085 is 5

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 13085


5 13085
2617 2617
1

Prime factors of 13085 are 5,2617. Prime factorization of 13085 in exponential form is:

13085 = 51×26171

∴ So by taking common prime factors GCF of 13080 and 13085 is 5

Greatest Common Factor of 13080 and 13085 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 13085

List of positive integer factors of 13085 that divides 13085 without a remainder.

1,5,2617,13085

Greatest Common Factor

We found the factors and prime factorization of 13080 and 13085. The biggest common factor number is the GCF number.
So the greatest common factor 13080 and 13085 is 5.

Also check out the Least Common Multiple of 13080 and 13085

Properties of GCF 13080 and 13085

(i) The GCF of 13080 and 13085 is associative

GCF of 13080 and 13085 = GCF of 13085 and 13080

Related Greatest Common Factor of 13080

Related Greatest Common Factor of 13085

Frequently Asked Questions on GCF of 13080 and 13085

1. What is the GCF of 13080 and 13085?

Answer: GCF of 13080 and 13085 is 5.

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 13085?

Answer: Factors of 13085 are 1, 5, 2617, 13085. There are 4 integers that are factors of 13085. The greatest factor of 13085 is 13085.

4. How to Find the GCF of 13080 and 13085?

Answer:

Greatest Common Factor of 13080 and 13085 = 5

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 13085

13085 = 5 x 2617

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

GCF = 5

Step 4: Therefore, the greatest common factor of 13080 and 13085 is 5