What is the Greatest Common Factor of 11198 and 11202?

Greatest common factor (GCF) of 11198 and 11202 is 2.

GCF(11198,11202) = 2

We will now calculate the prime factors of 11198 and 11202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11198 and 11202.

How to find the GCF of 11198 and 11202?

We will first find the prime factorization of 11198 and 11202. After we will calculate the factors of 11198 and 11202 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 11202

Prime factors of 11202 are 2, 3, 1867. Prime factorization of 11202 in exponential form is:

11202 = 2¹ × 3¹ × 1867¹

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 11202

List of positive integer factors of 11202 that divides 11198 without a remainder.

1, 2, 3, 6, 1867, 3734, 5601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11198 and 11202. The biggest common factor number is the GCF number.
So the greatest common factor 11198 and 11202 is 2.

Also check out the Least Common Multiple of 11198 and 11202