What is the Greatest Common Factor of 11189 and 11201?

Greatest common factor (GCF) of 11189 and 11201 is 1.

GCF(11189,11201) = 1

We will now calculate the prime factors of 11189 and 11201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11189 and 11201.

How to find the GCF of 11189 and 11201?

We will first find the prime factorization of 11189 and 11201. After we will calculate the factors of 11189 and 11201 and find the biggest common factor number .

Step-1: Prime Factorization of 11189

Prime factors of 11189 are 67, 167. Prime factorization of 11189 in exponential form is:

11189 = 67¹ × 167¹

Step-2: Prime Factorization of 11201

Prime factors of 11201 are 23, 487. Prime factorization of 11201 in exponential form is:

11201 = 23¹ × 487¹

Step-3: Factors of 11189

List of positive integer factors of 11189 that divides 11189 without a remainder.

1, 67, 167

Step-4: Factors of 11201

List of positive integer factors of 11201 that divides 11189 without a remainder.

1, 23, 487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11189 and 11201. The biggest common factor number is the GCF number.
So the greatest common factor 11189 and 11201 is 1.

Also check out the Least Common Multiple of 11189 and 11201