What is the Greatest Common Factor of 21197 and 21206?

Greatest common factor (GCF) of 21197 and 21206 is 1.

GCF(21197,21206) = 1

We will now calculate the prime factors of 21197 and 21206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21197 and 21206.

How to find the GCF of 21197 and 21206?

We will first find the prime factorization of 21197 and 21206. After we will calculate the factors of 21197 and 21206 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21206

Prime factors of 21206 are 2, 23, 461. Prime factorization of 21206 in exponential form is:

21206 = 2¹ × 23¹ × 461¹

Step-3: Factors of 21197

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

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

Step-4: Factors of 21206

List of positive integer factors of 21206 that divides 21197 without a remainder.

1, 2, 23, 46, 461, 922, 10603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21197 and 21206. The biggest common factor number is the GCF number.
So the greatest common factor 21197 and 21206 is 1.

Also check out the Least Common Multiple of 21197 and 21206