What is the Greatest Common Factor of 20385 and 20390?

Greatest common factor (GCF) of 20385 and 20390 is 5.

GCF(20385,20390) = 5

We will now calculate the prime factors of 20385 and 20390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20385 and 20390.

How to find the GCF of 20385 and 20390?

We will first find the prime factorization of 20385 and 20390. After we will calculate the factors of 20385 and 20390 and find the biggest common factor number .

Step-1: Prime Factorization of 20385

Prime factors of 20385 are 3, 5, 151. Prime factorization of 20385 in exponential form is:

20385 = 3³ × 5¹ × 151¹

Step-2: Prime Factorization of 20390

Prime factors of 20390 are 2, 5, 2039. Prime factorization of 20390 in exponential form is:

20390 = 2¹ × 5¹ × 2039¹

Step-3: Factors of 20385

List of positive integer factors of 20385 that divides 20385 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 151, 453, 755, 1359, 2265, 4077, 6795

Step-4: Factors of 20390

List of positive integer factors of 20390 that divides 20385 without a remainder.

1, 2, 5, 10, 2039, 4078, 10195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20385 and 20390. The biggest common factor number is the GCF number.
So the greatest common factor 20385 and 20390 is 5.

Also check out the Least Common Multiple of 20385 and 20390