What is the Greatest Common Factor of 21188 and 21197?

Greatest common factor (GCF) of 21188 and 21197 is 1.

GCF(21188,21197) = 1

We will now calculate the prime factors of 21188 and 21197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21188 and 21197.

How to find the GCF of 21188 and 21197?

We will first find the prime factorization of 21188 and 21197. After we will calculate the factors of 21188 and 21197 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 21197

Prime factors of 21197 are 11, 41, 47. Prime factorization of 21197 in exponential form is:

21197 = 11¹ × 41¹ × 47¹

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 21197

List of positive integer factors of 21197 that divides 21188 without a remainder.

1, 11, 41, 47, 451, 517, 1927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21188 and 21197. The biggest common factor number is the GCF number.
So the greatest common factor 21188 and 21197 is 1.

Also check out the Least Common Multiple of 21188 and 21197