What is the Greatest Common Factor of 20381 and 20389?

Greatest common factor (GCF) of 20381 and 20389 is 1.

GCF(20381,20389) = 1

We will now calculate the prime factors of 20381 and 20389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20381 and 20389.

How to find the GCF of 20381 and 20389?

We will first find the prime factorization of 20381 and 20389. After we will calculate the factors of 20381 and 20389 and find the biggest common factor number .

Step-1: Prime Factorization of 20381

Prime factors of 20381 are 89, 229. Prime factorization of 20381 in exponential form is:

20381 = 89¹ × 229¹

Step-2: Prime Factorization of 20389

Prime factors of 20389 are 20389. Prime factorization of 20389 in exponential form is:

20389 = 20389¹

Step-3: Factors of 20381

List of positive integer factors of 20381 that divides 20381 without a remainder.

1, 89, 229

Step-4: Factors of 20389

List of positive integer factors of 20389 that divides 20381 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20381 and 20389. The biggest common factor number is the GCF number.
So the greatest common factor 20381 and 20389 is 1.

Also check out the Least Common Multiple of 20381 and 20389