What is the Greatest Common Factor of 15198 and 15205?

Greatest common factor (GCF) of 15198 and 15205 is 1.

GCF(15198,15205) = 1

We will now calculate the prime factors of 15198 and 15205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15198 and 15205.

How to find the GCF of 15198 and 15205?

We will first find the prime factorization of 15198 and 15205. After we will calculate the factors of 15198 and 15205 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15205

Prime factors of 15205 are 5, 3041. Prime factorization of 15205 in exponential form is:

15205 = 5¹ × 3041¹

Step-3: Factors of 15198

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

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

Step-4: Factors of 15205

List of positive integer factors of 15205 that divides 15198 without a remainder.

1, 5, 3041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15198 and 15205. The biggest common factor number is the GCF number.
So the greatest common factor 15198 and 15205 is 1.

Also check out the Least Common Multiple of 15198 and 15205