What is the Greatest Common Factor of 32289 and 32303?

Greatest common factor (GCF) of 32289 and 32303 is 1.

GCF(32289,32303) = 1

We will now calculate the prime factors of 32289 and 32303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32289 and 32303.

How to find the GCF of 32289 and 32303?

We will first find the prime factorization of 32289 and 32303. After we will calculate the factors of 32289 and 32303 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 32303

Prime factors of 32303 are 32303. Prime factorization of 32303 in exponential form is:

32303 = 32303¹

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 32303

List of positive integer factors of 32303 that divides 32289 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32289 and 32303. The biggest common factor number is the GCF number.
So the greatest common factor 32289 and 32303 is 1.

Also check out the Least Common Multiple of 32289 and 32303