Greatest Common Factor of 13405 and 13410

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 13405, 13410 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13405 and 13410 is 5.

GCF(13405,13410) = 5

GCF of 13405 and 13410

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

GCF of:
and

Greatest Common Factor of 13405 and 13410

GCF of 13405 and 13410 is 5

Prime Factorization of 13405


5 13405
7 2681
383 383
1

Prime factors of 13405 are 5,7,383. Prime factorization of 13405 in exponential form is:

13405 = 51×71×3831

Prime Factorization of 13410


2 13410
3 6705
3 2235
5 745
149 149
1

Prime factors of 13410 are 2,3,5,149. Prime factorization of 13410 in exponential form is:

13410 = 21×32×51×1491

∴ So by taking common prime factors GCF of 13405 and 13410 is 5

Greatest Common Factor of 13405 and 13410 by matching factors method

Factors of 13405

List of positive integer factors of 13405 that divides 13405 without a remainder.

1,5,7,35,383,1915,2681,13405

Factors of 13410

List of positive integer factors of 13410 that divides 13410 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,149,298,447,745,894,1341,1490,2235,2682,4470,6705,13410

Greatest Common Factor

We found the factors and prime factorization of 13405 and 13410. The biggest common factor number is the GCF number.
So the greatest common factor 13405 and 13410 is 5.

Also check out the Least Common Multiple of 13405 and 13410

Properties of GCF 13405 and 13410

(i) The GCF of 13405 and 13410 is associative

GCF of 13405 and 13410 = GCF of 13410 and 13405

Related Greatest Common Factor of 13405

Related Greatest Common Factor of 13410

Frequently Asked Questions on GCF of 13405 and 13410

1. What is the GCF of 13405 and 13410?

Answer: GCF of 13405 and 13410 is 5.

2. What are the Factors of 13405?

Answer: Factors of 13405 are 1, 5, 7, 35, 383, 1915, 2681, 13405. There are 8 integers that are factors of 13405. The greatest factor of 13405 is 13405.

3. What are the Factors of 13410?

Answer: Factors of 13410 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 149, 298, 447, 745, 894, 1341, 1490, 2235, 2682, 4470, 6705, 13410. There are 24 integers that are factors of 13410. The greatest factor of 13410 is 13410.

4. How to Find the GCF of 13405 and 13410?

Answer:

Greatest Common Factor of 13405 and 13410 = 5

Step 1: Find the prime factorization of 13405

13405 = 5 x 7 x 383

Step 2: Find the prime factorization of 13410

13410 = 2 x 3 x 3 x 5 x 149

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 13405 and 13410 is 5