What is the Greatest Common Factor of 8282 and 8297?

Greatest common factor (GCF) of 8282 and 8297 is 1.

GCF(8282,8297) = 1

We will now calculate the prime factors of 8282 and 8297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8282 and 8297.

How to find the GCF of 8282 and 8297?

We will first find the prime factorization of 8282 and 8297. After we will calculate the factors of 8282 and 8297 and find the biggest common factor number .

Step-1: Prime Factorization of 8282

Prime factors of 8282 are 2, 41, 101. Prime factorization of 8282 in exponential form is:

8282 = 2¹ × 41¹ × 101¹

Step-2: Prime Factorization of 8297

Prime factors of 8297 are 8297. Prime factorization of 8297 in exponential form is:

8297 = 8297¹

Step-3: Factors of 8282

List of positive integer factors of 8282 that divides 8282 without a remainder.

1, 2, 41, 82, 101, 202, 4141

Step-4: Factors of 8297

List of positive integer factors of 8297 that divides 8282 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8282 and 8297. The biggest common factor number is the GCF number.
So the greatest common factor 8282 and 8297 is 1.

Also check out the Least Common Multiple of 8282 and 8297