What is the Greatest Common Factor of 21197 and 21208?

Greatest common factor (GCF) of 21197 and 21208 is 11.

GCF(21197,21208) = 11

We will now calculate the prime factors of 21197 and 21208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21197 and 21208.

How to find the GCF of 21197 and 21208?

We will first find the prime factorization of 21197 and 21208. After we will calculate the factors of 21197 and 21208 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 21208

Prime factors of 21208 are 2, 11, 241. Prime factorization of 21208 in exponential form is:

21208 = 2³ × 11¹ × 241¹

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 21208

List of positive integer factors of 21208 that divides 21197 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 241, 482, 964, 1928, 2651, 5302, 10604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21197 and 21208. The biggest common factor number is the GCF number.
So the greatest common factor 21197 and 21208 is 11.

Also check out the Least Common Multiple of 21197 and 21208