What is the Greatest Common Factor of 21199 and 21211?

Greatest common factor (GCF) of 21199 and 21211 is 1.

GCF(21199,21211) = 1

We will now calculate the prime factors of 21199 and 21211, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21199 and 21211.

How to find the GCF of 21199 and 21211?

We will first find the prime factorization of 21199 and 21211. After we will calculate the factors of 21199 and 21211 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21211

Prime factors of 21211 are 21211. Prime factorization of 21211 in exponential form is:

21211 = 21211¹

Step-3: Factors of 21199

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

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

Step-4: Factors of 21211

List of positive integer factors of 21211 that divides 21199 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21199 and 21211. The biggest common factor number is the GCF number.
So the greatest common factor 21199 and 21211 is 1.

Also check out the Least Common Multiple of 21199 and 21211