What is the Greatest Common Factor of 32283 and 32289?

Greatest common factor (GCF) of 32283 and 32289 is 3.

GCF(32283,32289) = 3

We will now calculate the prime factors of 32283 and 32289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32283 and 32289.

How to find the GCF of 32283 and 32289?

We will first find the prime factorization of 32283 and 32289. After we will calculate the factors of 32283 and 32289 and find the biggest common factor number .

Step-1: Prime Factorization of 32283

Prime factors of 32283 are 3, 17, 211. Prime factorization of 32283 in exponential form is:

32283 = 3² × 17¹ × 211¹

Step-2: 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-3: Factors of 32283

List of positive integer factors of 32283 that divides 32283 without a remainder.

1, 3, 9, 17, 51, 153, 211, 633, 1899, 3587, 10761

Step-4: Factors of 32289

List of positive integer factors of 32289 that divides 32283 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32283 and 32289. The biggest common factor number is the GCF number.
So the greatest common factor 32283 and 32289 is 3.

Also check out the Least Common Multiple of 32283 and 32289