What is the Greatest Common Factor of 15397 and 15405?

Greatest common factor (GCF) of 15397 and 15405 is 1.

GCF(15397,15405) = 1

We will now calculate the prime factors of 15397 and 15405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15397 and 15405.

How to find the GCF of 15397 and 15405?

We will first find the prime factorization of 15397 and 15405. After we will calculate the factors of 15397 and 15405 and find the biggest common factor number .

Step-1: Prime Factorization of 15397

Prime factors of 15397 are 89, 173. Prime factorization of 15397 in exponential form is:

15397 = 89¹ × 173¹

Step-2: Prime Factorization of 15405

Prime factors of 15405 are 3, 5, 13, 79. Prime factorization of 15405 in exponential form is:

15405 = 3¹ × 5¹ × 13¹ × 79¹

Step-3: Factors of 15397

List of positive integer factors of 15397 that divides 15397 without a remainder.

1, 89, 173

Step-4: Factors of 15405

List of positive integer factors of 15405 that divides 15397 without a remainder.

1, 3, 5, 13, 15, 39, 65, 79, 195, 237, 395, 1027, 1185, 3081, 5135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15397 and 15405. The biggest common factor number is the GCF number.
So the greatest common factor 15397 and 15405 is 1.

Also check out the Least Common Multiple of 15397 and 15405