What is the Greatest Common Factor of 21257 and 21269?

Greatest common factor (GCF) of 21257 and 21269 is 1.

GCF(21257,21269) = 1

We will now calculate the prime factors of 21257 and 21269, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21257 and 21269.

How to find the GCF of 21257 and 21269?

We will first find the prime factorization of 21257 and 21269. After we will calculate the factors of 21257 and 21269 and find the biggest common factor number .

Step-1: Prime Factorization of 21257

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

21257 = 29¹ × 733¹

Step-2: Prime Factorization of 21269

Prime factors of 21269 are 21269. Prime factorization of 21269 in exponential form is:

21269 = 21269¹

Step-3: Factors of 21257

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

1, 29, 733

Step-4: Factors of 21269

List of positive integer factors of 21269 that divides 21257 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21257 and 21269. The biggest common factor number is the GCF number.
So the greatest common factor 21257 and 21269 is 1.

Also check out the Least Common Multiple of 21257 and 21269