What is the Greatest Common Factor of 21279 and 21297?

Greatest common factor (GCF) of 21279 and 21297 is 3.

GCF(21279,21297) = 3

We will now calculate the prime factors of 21279 and 21297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21279 and 21297.

How to find the GCF of 21279 and 21297?

We will first find the prime factorization of 21279 and 21297. After we will calculate the factors of 21279 and 21297 and find the biggest common factor number .

Step-1: Prime Factorization of 21279

Prime factors of 21279 are 3, 41, 173. Prime factorization of 21279 in exponential form is:

21279 = 3¹ × 41¹ × 173¹

Step-2: 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-3: Factors of 21279

List of positive integer factors of 21279 that divides 21279 without a remainder.

1, 3, 41, 123, 173, 519, 7093

Step-4: Factors of 21297

List of positive integer factors of 21297 that divides 21279 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21279 and 21297. The biggest common factor number is the GCF number.
So the greatest common factor 21279 and 21297 is 3.

Also check out the Least Common Multiple of 21279 and 21297