What is the Greatest Common Factor of 15189 and 15198?

Greatest common factor (GCF) of 15189 and 15198 is 3.

GCF(15189,15198) = 3

We will now calculate the prime factors of 15189 and 15198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15189 and 15198.

How to find the GCF of 15189 and 15198?

We will first find the prime factorization of 15189 and 15198. After we will calculate the factors of 15189 and 15198 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 15198

Prime factors of 15198 are 2, 3, 17, 149. Prime factorization of 15198 in exponential form is:

15198 = 2¹ × 3¹ × 17¹ × 149¹

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 15198

List of positive integer factors of 15198 that divides 15189 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 149, 298, 447, 894, 2533, 5066, 7599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15189 and 15198. The biggest common factor number is the GCF number.
So the greatest common factor 15189 and 15198 is 3.

Also check out the Least Common Multiple of 15189 and 15198