What is the Greatest Common Factor of 32289 and 32297?

Greatest common factor (GCF) of 32289 and 32297 is 1.

GCF(32289,32297) = 1

We will now calculate the prime factors of 32289 and 32297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32289 and 32297.

How to find the GCF of 32289 and 32297?

We will first find the prime factorization of 32289 and 32297. After we will calculate the factors of 32289 and 32297 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 32297

Prime factors of 32297 are 32297. Prime factorization of 32297 in exponential form is:

32297 = 32297¹

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 32297

List of positive integer factors of 32297 that divides 32289 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32289 and 32297. The biggest common factor number is the GCF number.
So the greatest common factor 32289 and 32297 is 1.

Also check out the Least Common Multiple of 32289 and 32297