What is the Greatest Common Factor of 21279 and 21295?

Greatest common factor (GCF) of 21279 and 21295 is 1.

GCF(21279,21295) = 1

We will now calculate the prime factors of 21279 and 21295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21279 and 21295.

How to find the GCF of 21279 and 21295?

We will first find the prime factorization of 21279 and 21295. After we will calculate the factors of 21279 and 21295 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 21295

Prime factors of 21295 are 5, 4259. Prime factorization of 21295 in exponential form is:

21295 = 5¹ × 4259¹

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 21295

List of positive integer factors of 21295 that divides 21279 without a remainder.

1, 5, 4259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21279 and 21295. The biggest common factor number is the GCF number.
So the greatest common factor 21279 and 21295 is 1.

Also check out the Least Common Multiple of 21279 and 21295