What is the Greatest Common Factor of 8257 and 8266?

Greatest common factor (GCF) of 8257 and 8266 is 1.

GCF(8257,8266) = 1

We will now calculate the prime factors of 8257 and 8266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8257 and 8266.

How to find the GCF of 8257 and 8266?

We will first find the prime factorization of 8257 and 8266. After we will calculate the factors of 8257 and 8266 and find the biggest common factor number .

Step-1: Prime Factorization of 8257

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

8257 = 23¹ × 359¹

Step-2: Prime Factorization of 8266

Prime factors of 8266 are 2, 4133. Prime factorization of 8266 in exponential form is:

8266 = 2¹ × 4133¹

Step-3: Factors of 8257

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

1, 23, 359

Step-4: Factors of 8266

List of positive integer factors of 8266 that divides 8257 without a remainder.

1, 2, 4133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8257 and 8266. The biggest common factor number is the GCF number.
So the greatest common factor 8257 and 8266 is 1.

Also check out the Least Common Multiple of 8257 and 8266