What is the Greatest Common Factor of 8233 and 8241?

Greatest common factor (GCF) of 8233 and 8241 is 1.

GCF(8233,8241) = 1

We will now calculate the prime factors of 8233 and 8241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8233 and 8241.

How to find the GCF of 8233 and 8241?

We will first find the prime factorization of 8233 and 8241. After we will calculate the factors of 8233 and 8241 and find the biggest common factor number .

Step-1: Prime Factorization of 8233

Prime factors of 8233 are 8233. Prime factorization of 8233 in exponential form is:

8233 = 8233¹

Step-2: Prime Factorization of 8241

Prime factors of 8241 are 3, 41, 67. Prime factorization of 8241 in exponential form is:

8241 = 3¹ × 41¹ × 67¹

Step-3: Factors of 8233

List of positive integer factors of 8233 that divides 8233 without a remainder.

Step-4: Factors of 8241

List of positive integer factors of 8241 that divides 8233 without a remainder.

1, 3, 41, 67, 123, 201, 2747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8233 and 8241. The biggest common factor number is the GCF number.
So the greatest common factor 8233 and 8241 is 1.

Also check out the Least Common Multiple of 8233 and 8241