What is the Greatest Common Factor of 32289 and 32295?

Greatest common factor (GCF) of 32289 and 32295 is 3.

GCF(32289,32295) = 3

We will now calculate the prime factors of 32289 and 32295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32289 and 32295.

How to find the GCF of 32289 and 32295?

We will first find the prime factorization of 32289 and 32295. After we will calculate the factors of 32289 and 32295 and find the biggest common factor number .

Step-1: Prime Factorization of 32289

Prime factors of 32289 are 3, 47, 229. Prime factorization of 32289 in exponential form is:

32289 = 3¹ × 47¹ × 229¹

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 32289

List of positive integer factors of 32289 that divides 32289 without a remainder.

1, 3, 47, 141, 229, 687, 10763

Step-4: Factors of 32295

List of positive integer factors of 32295 that divides 32289 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32289 and 32295. The biggest common factor number is the GCF number.
So the greatest common factor 32289 and 32295 is 3.

Also check out the Least Common Multiple of 32289 and 32295