What is the Greatest Common Factor of 11198 and 11203?

Greatest common factor (GCF) of 11198 and 11203 is 1.

GCF(11198,11203) = 1

We will now calculate the prime factors of 11198 and 11203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11198 and 11203.

How to find the GCF of 11198 and 11203?

We will first find the prime factorization of 11198 and 11203. After we will calculate the factors of 11198 and 11203 and find the biggest common factor number .

Step-1: Prime Factorization of 11198

Prime factors of 11198 are 2, 11, 509. Prime factorization of 11198 in exponential form is:

11198 = 2¹ × 11¹ × 509¹

Step-2: Prime Factorization of 11203

Prime factors of 11203 are 17, 659. Prime factorization of 11203 in exponential form is:

11203 = 17¹ × 659¹

Step-3: Factors of 11198

List of positive integer factors of 11198 that divides 11198 without a remainder.

1, 2, 11, 22, 509, 1018, 5599

Step-4: Factors of 11203

List of positive integer factors of 11203 that divides 11198 without a remainder.

1, 17, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11198 and 11203. The biggest common factor number is the GCF number.
So the greatest common factor 11198 and 11203 is 1.

Also check out the Least Common Multiple of 11198 and 11203