What is the Greatest Common Factor of 21380 and 21389?

Greatest common factor (GCF) of 21380 and 21389 is 1.

GCF(21380,21389) = 1

We will now calculate the prime factors of 21380 and 21389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21380 and 21389.

How to find the GCF of 21380 and 21389?

We will first find the prime factorization of 21380 and 21389. After we will calculate the factors of 21380 and 21389 and find the biggest common factor number .

Step-1: Prime Factorization of 21380

Prime factors of 21380 are 2, 5, 1069. Prime factorization of 21380 in exponential form is:

21380 = 2² × 5¹ × 1069¹

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 21380

List of positive integer factors of 21380 that divides 21380 without a remainder.

1, 2, 4, 5, 10, 20, 1069, 2138, 4276, 5345, 10690

Step-4: Factors of 21389

List of positive integer factors of 21389 that divides 21380 without a remainder.

1, 73, 293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21380 and 21389. The biggest common factor number is the GCF number.
So the greatest common factor 21380 and 21389 is 1.

Also check out the Least Common Multiple of 21380 and 21389