What is the Greatest Common Factor of 13405 and 13409?

Greatest common factor (GCF) of 13405 and 13409 is 1.

GCF(13405,13409) = 1

We will now calculate the prime factors of 13405 and 13409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13405 and 13409.

How to find the GCF of 13405 and 13409?

We will first find the prime factorization of 13405 and 13409. After we will calculate the factors of 13405 and 13409 and find the biggest common factor number .

Step-1: Prime Factorization of 13405

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

13405 = 5¹ × 7¹ × 383¹

Step-2: Prime Factorization of 13409

Prime factors of 13409 are 11, 23, 53. Prime factorization of 13409 in exponential form is:

13409 = 11¹ × 23¹ × 53¹

Step-3: Factors of 13405

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

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

Step-4: Factors of 13409

List of positive integer factors of 13409 that divides 13405 without a remainder.

1, 11, 23, 53, 253, 583, 1219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13405 and 13409. The biggest common factor number is the GCF number.
So the greatest common factor 13405 and 13409 is 1.

Also check out the Least Common Multiple of 13405 and 13409