What is the Greatest Common Factor of 32280 and 32295?

Greatest common factor (GCF) of 32280 and 32295 is 15.

GCF(32280,32295) = 15

We will now calculate the prime factors of 32280 and 32295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32280 and 32295.

How to find the GCF of 32280 and 32295?

We will first find the prime factorization of 32280 and 32295. After we will calculate the factors of 32280 and 32295 and find the biggest common factor number .

Step-1: Prime Factorization of 32280

Prime factors of 32280 are 2, 3, 5, 269. Prime factorization of 32280 in exponential form is:

32280 = 2³ × 3¹ × 5¹ × 269¹

Step-2: 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-3: Factors of 32280

List of positive integer factors of 32280 that divides 32280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 269, 538, 807, 1076, 1345, 1614, 2152, 2690, 3228, 4035, 5380, 6456, 8070, 10760, 16140

Step-4: Factors of 32295

List of positive integer factors of 32295 that divides 32280 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32280 and 32295. The biggest common factor number is the GCF number.
So the greatest common factor 32280 and 32295 is 15.

Also check out the Least Common Multiple of 32280 and 32295