What is the Greatest Common Factor of 33281 and 33289?

Greatest common factor (GCF) of 33281 and 33289 is 1.

GCF(33281,33289) = 1

We will now calculate the prime factors of 33281 and 33289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33281 and 33289.

How to find the GCF of 33281 and 33289?

We will first find the prime factorization of 33281 and 33289. After we will calculate the factors of 33281 and 33289 and find the biggest common factor number .

Step-1: Prime Factorization of 33281

Prime factors of 33281 are 23, 1447. Prime factorization of 33281 in exponential form is:

33281 = 23¹ × 1447¹

Step-2: Prime Factorization of 33289

Prime factors of 33289 are 33289. Prime factorization of 33289 in exponential form is:

33289 = 33289¹

Step-3: Factors of 33281

List of positive integer factors of 33281 that divides 33281 without a remainder.

1, 23, 1447

Step-4: Factors of 33289

List of positive integer factors of 33289 that divides 33281 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33281 and 33289. The biggest common factor number is the GCF number.
So the greatest common factor 33281 and 33289 is 1.

Also check out the Least Common Multiple of 33281 and 33289