What is the Greatest Common Factor of 15189 and 15199?

Greatest common factor (GCF) of 15189 and 15199 is 1.

GCF(15189,15199) = 1

We will now calculate the prime factors of 15189 and 15199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15189 and 15199.

How to find the GCF of 15189 and 15199?

We will first find the prime factorization of 15189 and 15199. After we will calculate the factors of 15189 and 15199 and find the biggest common factor number .

Step-1: Prime Factorization of 15189

Prime factors of 15189 are 3, 61, 83. Prime factorization of 15189 in exponential form is:

15189 = 3¹ × 61¹ × 83¹

Step-2: Prime Factorization of 15199

Prime factors of 15199 are 15199. Prime factorization of 15199 in exponential form is:

15199 = 15199¹

Step-3: Factors of 15189

List of positive integer factors of 15189 that divides 15189 without a remainder.

1, 3, 61, 83, 183, 249, 5063

Step-4: Factors of 15199

List of positive integer factors of 15199 that divides 15189 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15189 and 15199. The biggest common factor number is the GCF number.
So the greatest common factor 15189 and 15199 is 1.

Also check out the Least Common Multiple of 15189 and 15199