What is the Greatest Common Factor of 21297 and 21313?

Greatest common factor (GCF) of 21297 and 21313 is 1.

GCF(21297,21313) = 1

We will now calculate the prime factors of 21297 and 21313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21297 and 21313.

How to find the GCF of 21297 and 21313?

We will first find the prime factorization of 21297 and 21313. After we will calculate the factors of 21297 and 21313 and find the biggest common factor number .

Step-1: Prime Factorization of 21297

Prime factors of 21297 are 3, 31, 229. Prime factorization of 21297 in exponential form is:

21297 = 3¹ × 31¹ × 229¹

Step-2: Prime Factorization of 21313

Prime factors of 21313 are 21313. Prime factorization of 21313 in exponential form is:

21313 = 21313¹

Step-3: Factors of 21297

List of positive integer factors of 21297 that divides 21297 without a remainder.

1, 3, 31, 93, 229, 687, 7099

Step-4: Factors of 21313

List of positive integer factors of 21313 that divides 21297 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21297 and 21313. The biggest common factor number is the GCF number.
So the greatest common factor 21297 and 21313 is 1.

Also check out the Least Common Multiple of 21297 and 21313