What is the Greatest Common Factor of 15198 and 15203?

Greatest common factor (GCF) of 15198 and 15203 is 1.

GCF(15198,15203) = 1

We will now calculate the prime factors of 15198 and 15203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15198 and 15203.

How to find the GCF of 15198 and 15203?

We will first find the prime factorization of 15198 and 15203. After we will calculate the factors of 15198 and 15203 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 15203

Prime factors of 15203 are 23, 661. Prime factorization of 15203 in exponential form is:

15203 = 23¹ × 661¹

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 15203

List of positive integer factors of 15203 that divides 15198 without a remainder.

1, 23, 661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15198 and 15203. The biggest common factor number is the GCF number.
So the greatest common factor 15198 and 15203 is 1.

Also check out the Least Common Multiple of 15198 and 15203