What is the Greatest Common Factor of 21238 and 21257?

Greatest common factor (GCF) of 21238 and 21257 is 1.

GCF(21238,21257) = 1

We will now calculate the prime factors of 21238 and 21257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21238 and 21257.

How to find the GCF of 21238 and 21257?

We will first find the prime factorization of 21238 and 21257. After we will calculate the factors of 21238 and 21257 and find the biggest common factor number .

Step-1: Prime Factorization of 21238

Prime factors of 21238 are 2, 7, 37, 41. Prime factorization of 21238 in exponential form is:

21238 = 2¹ × 7¹ × 37¹ × 41¹

Step-2: Prime Factorization of 21257

Prime factors of 21257 are 29, 733. Prime factorization of 21257 in exponential form is:

21257 = 29¹ × 733¹

Step-3: Factors of 21238

List of positive integer factors of 21238 that divides 21238 without a remainder.

1, 2, 7, 14, 37, 41, 74, 82, 259, 287, 518, 574, 1517, 3034, 10619

Step-4: Factors of 21257

List of positive integer factors of 21257 that divides 21238 without a remainder.

1, 29, 733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21238 and 21257. The biggest common factor number is the GCF number.
So the greatest common factor 21238 and 21257 is 1.

Also check out the Least Common Multiple of 21238 and 21257