What is the Greatest Common Factor of 21373 and 21389?

Greatest common factor (GCF) of 21373 and 21389 is 1.

GCF(21373,21389) = 1

We will now calculate the prime factors of 21373 and 21389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21373 and 21389.

How to find the GCF of 21373 and 21389?

We will first find the prime factorization of 21373 and 21389. After we will calculate the factors of 21373 and 21389 and find the biggest common factor number .

Step-1: Prime Factorization of 21373

Prime factors of 21373 are 11, 29, 67. Prime factorization of 21373 in exponential form is:

21373 = 11¹ × 29¹ × 67¹

Step-2: Prime Factorization of 21389

Prime factors of 21389 are 73, 293. Prime factorization of 21389 in exponential form is:

21389 = 73¹ × 293¹

Step-3: Factors of 21373

List of positive integer factors of 21373 that divides 21373 without a remainder.

1, 11, 29, 67, 319, 737, 1943

Step-4: Factors of 21389

List of positive integer factors of 21389 that divides 21373 without a remainder.

1, 73, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21373 and 21389. The biggest common factor number is the GCF number.
So the greatest common factor 21373 and 21389 is 1.

Also check out the Least Common Multiple of 21373 and 21389