What is the Greatest Common Factor of 13364 and 13369?

Greatest common factor (GCF) of 13364 and 13369 is 1.

GCF(13364,13369) = 1

We will now calculate the prime factors of 13364 and 13369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13364 and 13369.

How to find the GCF of 13364 and 13369?

We will first find the prime factorization of 13364 and 13369. After we will calculate the factors of 13364 and 13369 and find the biggest common factor number .

Step-1: Prime Factorization of 13364

Prime factors of 13364 are 2, 13, 257. Prime factorization of 13364 in exponential form is:

13364 = 2² × 13¹ × 257¹

Step-2: Prime Factorization of 13369

Prime factors of 13369 are 29, 461. Prime factorization of 13369 in exponential form is:

13369 = 29¹ × 461¹

Step-3: Factors of 13364

List of positive integer factors of 13364 that divides 13364 without a remainder.

1, 2, 4, 13, 26, 52, 257, 514, 1028, 3341, 6682

Step-4: Factors of 13369

List of positive integer factors of 13369 that divides 13364 without a remainder.

1, 29, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13364 and 13369. The biggest common factor number is the GCF number.
So the greatest common factor 13364 and 13369 is 1.

Also check out the Least Common Multiple of 13364 and 13369