What is the Greatest Common Factor of 18315 and 18335?

Greatest common factor (GCF) of 18315 and 18335 is 5.

GCF(18315,18335) = 5

We will now calculate the prime factors of 18315 and 18335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18315 and 18335.

How to find the GCF of 18315 and 18335?

We will first find the prime factorization of 18315 and 18335. After we will calculate the factors of 18315 and 18335 and find the biggest common factor number .

Step-1: Prime Factorization of 18315

Prime factors of 18315 are 3, 5, 11, 37. Prime factorization of 18315 in exponential form is:

18315 = 3² × 5¹ × 11¹ × 37¹

Step-2: Prime Factorization of 18335

Prime factors of 18335 are 5, 19, 193. Prime factorization of 18335 in exponential form is:

18335 = 5¹ × 19¹ × 193¹

Step-3: Factors of 18315

List of positive integer factors of 18315 that divides 18315 without a remainder.

1, 3, 5, 9, 11, 15, 33, 37, 45, 55, 99, 111, 165, 185, 333, 407, 495, 555, 1221, 1665, 2035, 3663, 6105

Step-4: Factors of 18335

List of positive integer factors of 18335 that divides 18315 without a remainder.

1, 5, 19, 95, 193, 965, 3667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18315 and 18335. The biggest common factor number is the GCF number.
So the greatest common factor 18315 and 18335 is 5.

Also check out the Least Common Multiple of 18315 and 18335