What is the Greatest Common Factor of 13189 and 13207?

Greatest common factor (GCF) of 13189 and 13207 is 1.

GCF(13189,13207) = 1

We will now calculate the prime factors of 13189 and 13207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13189 and 13207.

How to find the GCF of 13189 and 13207?

We will first find the prime factorization of 13189 and 13207. After we will calculate the factors of 13189 and 13207 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 13207

Prime factors of 13207 are 47, 281. Prime factorization of 13207 in exponential form is:

13207 = 47¹ × 281¹

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 13207

List of positive integer factors of 13207 that divides 13189 without a remainder.

1, 47, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13189 and 13207. The biggest common factor number is the GCF number.
So the greatest common factor 13189 and 13207 is 1.

Also check out the Least Common Multiple of 13189 and 13207