What is the Greatest Common Factor of 2189 and 2203?

Greatest common factor (GCF) of 2189 and 2203 is 1.

GCF(2189,2203) = 1

We will now calculate the prime factors of 2189 and 2203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2189 and 2203.

How to find the GCF of 2189 and 2203?

We will first find the prime factorization of 2189 and 2203. After we will calculate the factors of 2189 and 2203 and find the biggest common factor number .

Step-1: Prime Factorization of 2189

Prime factors of 2189 are 11, 199. Prime factorization of 2189 in exponential form is:

2189 = 11¹ × 199¹

Step-2: Prime Factorization of 2203

Prime factors of 2203 are 2203. Prime factorization of 2203 in exponential form is:

2203 = 2203¹

Step-3: Factors of 2189

List of positive integer factors of 2189 that divides 2189 without a remainder.

1, 11, 199

Step-4: Factors of 2203

List of positive integer factors of 2203 that divides 2189 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2189 and 2203. The biggest common factor number is the GCF number.
So the greatest common factor 2189 and 2203 is 1.

Also check out the Least Common Multiple of 2189 and 2203