What is the Greatest Common Factor of 20365 and 20385?

Greatest common factor (GCF) of 20365 and 20385 is 5.

GCF(20365,20385) = 5

We will now calculate the prime factors of 20365 and 20385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20365 and 20385.

How to find the GCF of 20365 and 20385?

We will first find the prime factorization of 20365 and 20385. After we will calculate the factors of 20365 and 20385 and find the biggest common factor number .

Step-1: Prime Factorization of 20365

Prime factors of 20365 are 5, 4073. Prime factorization of 20365 in exponential form is:

20365 = 5¹ × 4073¹

Step-2: 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-3: Factors of 20365

List of positive integer factors of 20365 that divides 20365 without a remainder.

1, 5, 4073

Step-4: Factors of 20385

List of positive integer factors of 20385 that divides 20365 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20365 and 20385. The biggest common factor number is the GCF number.
So the greatest common factor 20365 and 20385 is 5.

Also check out the Least Common Multiple of 20365 and 20385