What is the Greatest Common Factor of 11189 and 11208?

Greatest common factor (GCF) of 11189 and 11208 is 1.

GCF(11189,11208) = 1

We will now calculate the prime factors of 11189 and 11208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11189 and 11208.

How to find the GCF of 11189 and 11208?

We will first find the prime factorization of 11189 and 11208. After we will calculate the factors of 11189 and 11208 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 11208

Prime factors of 11208 are 2, 3, 467. Prime factorization of 11208 in exponential form is:

11208 = 2³ × 3¹ × 467¹

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 11208

List of positive integer factors of 11208 that divides 11189 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 467, 934, 1401, 1868, 2802, 3736, 5604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11189 and 11208. The biggest common factor number is the GCF number.
So the greatest common factor 11189 and 11208 is 1.

Also check out the Least Common Multiple of 11189 and 11208