What is the Greatest Common Factor of 13189 and 13193?

Greatest common factor (GCF) of 13189 and 13193 is 1.

GCF(13189,13193) = 1

We will now calculate the prime factors of 13189 and 13193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13189 and 13193.

How to find the GCF of 13189 and 13193?

We will first find the prime factorization of 13189 and 13193. After we will calculate the factors of 13189 and 13193 and find the biggest common factor number .

Step-1: Prime Factorization of 13189

Prime factors of 13189 are 11, 109. Prime factorization of 13189 in exponential form is:

13189 = 11² × 109¹

Step-2: Prime Factorization of 13193

Prime factors of 13193 are 79, 167. Prime factorization of 13193 in exponential form is:

13193 = 79¹ × 167¹

Step-3: Factors of 13189

List of positive integer factors of 13189 that divides 13189 without a remainder.

1, 11, 109, 121, 1199

Step-4: Factors of 13193

List of positive integer factors of 13193 that divides 13189 without a remainder.

1, 79, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13189 and 13193. The biggest common factor number is the GCF number.
So the greatest common factor 13189 and 13193 is 1.

Also check out the Least Common Multiple of 13189 and 13193