What is the Greatest Common Factor of 20364 and 20381?

Greatest common factor (GCF) of 20364 and 20381 is 1.

GCF(20364,20381) = 1

We will now calculate the prime factors of 20364 and 20381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20364 and 20381.

How to find the GCF of 20364 and 20381?

We will first find the prime factorization of 20364 and 20381. After we will calculate the factors of 20364 and 20381 and find the biggest common factor number .

Step-1: Prime Factorization of 20364

Prime factors of 20364 are 2, 3, 1697. Prime factorization of 20364 in exponential form is:

20364 = 2² × 3¹ × 1697¹

Step-2: Prime Factorization of 20381

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

20381 = 89¹ × 229¹

Step-3: Factors of 20364

List of positive integer factors of 20364 that divides 20364 without a remainder.

1, 2, 3, 4, 6, 12, 1697, 3394, 5091, 6788, 10182

Step-4: Factors of 20381

List of positive integer factors of 20381 that divides 20364 without a remainder.

1, 89, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20364 and 20381. The biggest common factor number is the GCF number.
So the greatest common factor 20364 and 20381 is 1.

Also check out the Least Common Multiple of 20364 and 20381