What is the Greatest Common Factor of 18395 and 18405?

Greatest common factor (GCF) of 18395 and 18405 is 5.

GCF(18395,18405) = 5

We will now calculate the prime factors of 18395 and 18405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18395 and 18405.

How to find the GCF of 18395 and 18405?

We will first find the prime factorization of 18395 and 18405. After we will calculate the factors of 18395 and 18405 and find the biggest common factor number .

Step-1: Prime Factorization of 18395

Prime factors of 18395 are 5, 13, 283. Prime factorization of 18395 in exponential form is:

18395 = 5¹ × 13¹ × 283¹

Step-2: Prime Factorization of 18405

Prime factors of 18405 are 3, 5, 409. Prime factorization of 18405 in exponential form is:

18405 = 3² × 5¹ × 409¹

Step-3: Factors of 18395

List of positive integer factors of 18395 that divides 18395 without a remainder.

1, 5, 13, 65, 283, 1415, 3679

Step-4: Factors of 18405

List of positive integer factors of 18405 that divides 18395 without a remainder.

1, 3, 5, 9, 15, 45, 409, 1227, 2045, 3681, 6135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18395 and 18405. The biggest common factor number is the GCF number.
So the greatest common factor 18395 and 18405 is 5.

Also check out the Least Common Multiple of 18395 and 18405