What is the Greatest Common Factor of 32295 and 32310?

Greatest common factor (GCF) of 32295 and 32310 is 15.

GCF(32295,32310) = 15

We will now calculate the prime factors of 32295 and 32310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32295 and 32310.

How to find the GCF of 32295 and 32310?

We will first find the prime factorization of 32295 and 32310. After we will calculate the factors of 32295 and 32310 and find the biggest common factor number .

Step-1: Prime Factorization of 32295

Prime factors of 32295 are 3, 5, 2153. Prime factorization of 32295 in exponential form is:

32295 = 3¹ × 5¹ × 2153¹

Step-2: Prime Factorization of 32310

Prime factors of 32310 are 2, 3, 5, 359. Prime factorization of 32310 in exponential form is:

32310 = 2¹ × 3² × 5¹ × 359¹

Step-3: Factors of 32295

List of positive integer factors of 32295 that divides 32295 without a remainder.

1, 3, 5, 15, 2153, 6459, 10765

Step-4: Factors of 32310

List of positive integer factors of 32310 that divides 32295 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 359, 718, 1077, 1795, 2154, 3231, 3590, 5385, 6462, 10770, 16155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32295 and 32310. The biggest common factor number is the GCF number.
So the greatest common factor 32295 and 32310 is 15.

Also check out the Least Common Multiple of 32295 and 32310