What is the Greatest Common Factor of 18380 and 18395?

Greatest common factor (GCF) of 18380 and 18395 is 5.

GCF(18380,18395) = 5

We will now calculate the prime factors of 18380 and 18395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18380 and 18395.

How to find the GCF of 18380 and 18395?

We will first find the prime factorization of 18380 and 18395. After we will calculate the factors of 18380 and 18395 and find the biggest common factor number .

Step-1: Prime Factorization of 18380

Prime factors of 18380 are 2, 5, 919. Prime factorization of 18380 in exponential form is:

18380 = 2² × 5¹ × 919¹

Step-2: 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-3: Factors of 18380

List of positive integer factors of 18380 that divides 18380 without a remainder.

1, 2, 4, 5, 10, 20, 919, 1838, 3676, 4595, 9190

Step-4: Factors of 18395

List of positive integer factors of 18395 that divides 18380 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18380 and 18395. The biggest common factor number is the GCF number.
So the greatest common factor 18380 and 18395 is 5.

Also check out the Least Common Multiple of 18380 and 18395