What is the Greatest Common Factor of 90198 and 90203?

Greatest common factor (GCF) of 90198 and 90203 is 1.

GCF(90198,90203) = 1

We will now calculate the prime factors of 90198 and 90203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90198 and 90203.

How to find the GCF of 90198 and 90203?

We will first find the prime factorization of 90198 and 90203. After we will calculate the factors of 90198 and 90203 and find the biggest common factor number .

Step-1: Prime Factorization of 90198

Prime factors of 90198 are 2, 3, 5011. Prime factorization of 90198 in exponential form is:

90198 = 2¹ × 3² × 5011¹

Step-2: Prime Factorization of 90203

Prime factors of 90203 are 90203. Prime factorization of 90203 in exponential form is:

90203 = 90203¹

Step-3: Factors of 90198

List of positive integer factors of 90198 that divides 90198 without a remainder.

1, 2, 3, 6, 9, 18, 5011, 10022, 15033, 30066, 45099

Step-4: Factors of 90203

List of positive integer factors of 90203 that divides 90198 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90198 and 90203. The biggest common factor number is the GCF number.
So the greatest common factor 90198 and 90203 is 1.

Also check out the Least Common Multiple of 90198 and 90203