What is the Greatest Common Factor of 21257 and 21263?

Greatest common factor (GCF) of 21257 and 21263 is 1.

GCF(21257,21263) = 1

We will now calculate the prime factors of 21257 and 21263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21257 and 21263.

How to find the GCF of 21257 and 21263?

We will first find the prime factorization of 21257 and 21263. After we will calculate the factors of 21257 and 21263 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 21263

Prime factors of 21263 are 11, 1933. Prime factorization of 21263 in exponential form is:

21263 = 11¹ × 1933¹

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 21263

List of positive integer factors of 21263 that divides 21257 without a remainder.

1, 11, 1933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21257 and 21263. The biggest common factor number is the GCF number.
So the greatest common factor 21257 and 21263 is 1.

Also check out the Least Common Multiple of 21257 and 21263