What is the Greatest Common Factor of 13289 and 13308?

Greatest common factor (GCF) of 13289 and 13308 is 1.

GCF(13289,13308) = 1

We will now calculate the prime factors of 13289 and 13308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13289 and 13308.

How to find the GCF of 13289 and 13308?

We will first find the prime factorization of 13289 and 13308. After we will calculate the factors of 13289 and 13308 and find the biggest common factor number .

Step-1: Prime Factorization of 13289

Prime factors of 13289 are 97, 137. Prime factorization of 13289 in exponential form is:

13289 = 97¹ × 137¹

Step-2: Prime Factorization of 13308

Prime factors of 13308 are 2, 3, 1109. Prime factorization of 13308 in exponential form is:

13308 = 2² × 3¹ × 1109¹

Step-3: Factors of 13289

List of positive integer factors of 13289 that divides 13289 without a remainder.

1, 97, 137

Step-4: Factors of 13308

List of positive integer factors of 13308 that divides 13289 without a remainder.

1, 2, 3, 4, 6, 12, 1109, 2218, 3327, 4436, 6654

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13289 and 13308. The biggest common factor number is the GCF number.
So the greatest common factor 13289 and 13308 is 1.

Also check out the Least Common Multiple of 13289 and 13308