Greatest Common Factor of 13403 and 13405

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 13403, 13405 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13403 and 13405 is 1.

GCF(13403,13405) = 1

GCF of 13403 and 13405

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

GCF of:
and

Greatest Common Factor of 13403 and 13405

GCF of 13403 and 13405 is 1

Prime Factorization of 13403


13 13403
1031 1031
1

Prime factors of 13403 are 13,1031. Prime factorization of 13403 in exponential form is:

13403 = 131×10311

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

∴ So by taking common prime factors GCF of 13403 and 13405 is 1

Greatest Common Factor of 13403 and 13405 by matching factors method

Factors of 13403

List of positive integer factors of 13403 that divides 13403 without a remainder.

1,13,1031,13403

Factors of 13405

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

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

Greatest Common Factor

We found the factors and prime factorization of 13403 and 13405. The biggest common factor number is the GCF number.
So the greatest common factor 13403 and 13405 is 1.

Also check out the Least Common Multiple of 13403 and 13405

Properties of GCF 13403 and 13405

(i) The GCF of 13403 and 13405 is associative

GCF of 13403 and 13405 = GCF of 13405 and 13403

Related Greatest Common Factor of 13403

Related Greatest Common Factor of 13405

Frequently Asked Questions on GCF of 13403 and 13405

1. What is the GCF of 13403 and 13405?

Answer: GCF of 13403 and 13405 is 1.

2. What are the Factors of 13403?

Answer: Factors of 13403 are 1, 13, 1031, 13403. There are 4 integers that are factors of 13403. The greatest factor of 13403 is 13403.

3. 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.

4. How to Find the GCF of 13403 and 13405?

Answer:

Greatest Common Factor of 13403 and 13405 = 1

Step 1: Find the prime factorization of 13403

13403 = 13 x 1031

Step 2: Find the prime factorization of 13405

13405 = 5 x 7 x 383

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 13403 and 13405 is 1