What is the Greatest Common Factor of 21188 and 21199?

Greatest common factor (GCF) of 21188 and 21199 is 1.

GCF(21188,21199) = 1

We will now calculate the prime factors of 21188 and 21199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21188 and 21199.

How to find the GCF of 21188 and 21199?

We will first find the prime factorization of 21188 and 21199. After we will calculate the factors of 21188 and 21199 and find the biggest common factor number .

Step-1: Prime Factorization of 21188

Prime factors of 21188 are 2, 5297. Prime factorization of 21188 in exponential form is:

21188 = 2² × 5297¹

Step-2: Prime Factorization of 21199

Prime factors of 21199 are 17, 29, 43. Prime factorization of 21199 in exponential form is:

21199 = 17¹ × 29¹ × 43¹

Step-3: Factors of 21188

List of positive integer factors of 21188 that divides 21188 without a remainder.

1, 2, 4, 5297, 10594

Step-4: Factors of 21199

List of positive integer factors of 21199 that divides 21188 without a remainder.

1, 17, 29, 43, 493, 731, 1247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21188 and 21199. The biggest common factor number is the GCF number.
So the greatest common factor 21188 and 21199 is 1.

Also check out the Least Common Multiple of 21188 and 21199