What is the Greatest Common Factor of 20385 and 20392?

Greatest common factor (GCF) of 20385 and 20392 is 1.

GCF(20385,20392) = 1

We will now calculate the prime factors of 20385 and 20392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20385 and 20392.

How to find the GCF of 20385 and 20392?

We will first find the prime factorization of 20385 and 20392. After we will calculate the factors of 20385 and 20392 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 20392

Prime factors of 20392 are 2, 2549. Prime factorization of 20392 in exponential form is:

20392 = 2³ × 2549¹

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 20392

List of positive integer factors of 20392 that divides 20385 without a remainder.

1, 2, 4, 8, 2549, 5098, 10196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20385 and 20392. The biggest common factor number is the GCF number.
So the greatest common factor 20385 and 20392 is 1.

Also check out the Least Common Multiple of 20385 and 20392