What is the Greatest Common Factor of 18285 and 18305?

Greatest common factor (GCF) of 18285 and 18305 is 5.

GCF(18285,18305) = 5

We will now calculate the prime factors of 18285 and 18305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18285 and 18305.

How to find the GCF of 18285 and 18305?

We will first find the prime factorization of 18285 and 18305. After we will calculate the factors of 18285 and 18305 and find the biggest common factor number .

Step-1: Prime Factorization of 18285

Prime factors of 18285 are 3, 5, 23, 53. Prime factorization of 18285 in exponential form is:

18285 = 3¹ × 5¹ × 23¹ × 53¹

Step-2: Prime Factorization of 18305

Prime factors of 18305 are 5, 7, 523. Prime factorization of 18305 in exponential form is:

18305 = 5¹ × 7¹ × 523¹

Step-3: Factors of 18285

List of positive integer factors of 18285 that divides 18285 without a remainder.

1, 3, 5, 15, 23, 53, 69, 115, 159, 265, 345, 795, 1219, 3657, 6095

Step-4: Factors of 18305

List of positive integer factors of 18305 that divides 18285 without a remainder.

1, 5, 7, 35, 523, 2615, 3661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18285 and 18305. The biggest common factor number is the GCF number.
So the greatest common factor 18285 and 18305 is 5.

Also check out the Least Common Multiple of 18285 and 18305