What is the Greatest Common Factor of 8241 and 8257?

Greatest common factor (GCF) of 8241 and 8257 is 1.

GCF(8241,8257) = 1

We will now calculate the prime factors of 8241 and 8257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8241 and 8257.

How to find the GCF of 8241 and 8257?

We will first find the prime factorization of 8241 and 8257. After we will calculate the factors of 8241 and 8257 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8257

Prime factors of 8257 are 23, 359. Prime factorization of 8257 in exponential form is:

8257 = 23¹ × 359¹

Step-3: Factors of 8241

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

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

Step-4: Factors of 8257

List of positive integer factors of 8257 that divides 8241 without a remainder.

1, 23, 359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8241 and 8257. The biggest common factor number is the GCF number.
So the greatest common factor 8241 and 8257 is 1.

Also check out the Least Common Multiple of 8241 and 8257