What is the Greatest Common Factor of 20381 and 20395?

Greatest common factor (GCF) of 20381 and 20395 is 1.

GCF(20381,20395) = 1

We will now calculate the prime factors of 20381 and 20395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20381 and 20395.

How to find the GCF of 20381 and 20395?

We will first find the prime factorization of 20381 and 20395. After we will calculate the factors of 20381 and 20395 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 20395

Prime factors of 20395 are 5, 4079. Prime factorization of 20395 in exponential form is:

20395 = 5¹ × 4079¹

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 20395

List of positive integer factors of 20395 that divides 20381 without a remainder.

1, 5, 4079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20381 and 20395. The biggest common factor number is the GCF number.
So the greatest common factor 20381 and 20395 is 1.

Also check out the Least Common Multiple of 20381 and 20395