Greatest Common Factor of 13165 and 13170

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 13165, 13170 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13165 and 13170 is 5.

GCF(13165,13170) = 5

GCF of 13165 and 13170

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

GCF of:
and

Greatest Common Factor of 13165 and 13170

GCF of 13165 and 13170 is 5

Prime Factorization of 13165


5 13165
2633 2633
1

Prime factors of 13165 are 5,2633. Prime factorization of 13165 in exponential form is:

13165 = 51×26331

Prime Factorization of 13170


2 13170
3 6585
5 2195
439 439
1

Prime factors of 13170 are 2,3,5,439. Prime factorization of 13170 in exponential form is:

13170 = 21×31×51×4391

∴ So by taking common prime factors GCF of 13165 and 13170 is 5

Greatest Common Factor of 13165 and 13170 by matching factors method

Factors of 13165

List of positive integer factors of 13165 that divides 13165 without a remainder.

1,5,2633,13165

Factors of 13170

List of positive integer factors of 13170 that divides 13170 without a remainder.

1,2,3,5,6,10,15,30,439,878,1317,2195,2634,4390,6585,13170

Greatest Common Factor

We found the factors and prime factorization of 13165 and 13170. The biggest common factor number is the GCF number.
So the greatest common factor 13165 and 13170 is 5.

Also check out the Least Common Multiple of 13165 and 13170

Properties of GCF 13165 and 13170

(i) The GCF of 13165 and 13170 is associative

GCF of 13165 and 13170 = GCF of 13170 and 13165

Related Greatest Common Factor of 13165

Related Greatest Common Factor of 13170

Frequently Asked Questions on GCF of 13165 and 13170

1. What is the GCF of 13165 and 13170?

Answer: GCF of 13165 and 13170 is 5.

2. What are the Factors of 13165?

Answer: Factors of 13165 are 1, 5, 2633, 13165. There are 4 integers that are factors of 13165. The greatest factor of 13165 is 13165.

3. What are the Factors of 13170?

Answer: Factors of 13170 are 1, 2, 3, 5, 6, 10, 15, 30, 439, 878, 1317, 2195, 2634, 4390, 6585, 13170. There are 16 integers that are factors of 13170. The greatest factor of 13170 is 13170.

4. How to Find the GCF of 13165 and 13170?

Answer:

Greatest Common Factor of 13165 and 13170 = 5

Step 1: Find the prime factorization of 13165

13165 = 5 x 2633

Step 2: Find the prime factorization of 13170

13170 = 2 x 3 x 5 x 439

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 13165 and 13170 is 5