What is the Greatest Common Factor of 8278 and 8282?

Greatest common factor (GCF) of 8278 and 8282 is 2.

GCF(8278,8282) = 2

We will now calculate the prime factors of 8278 and 8282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8278 and 8282.

How to find the GCF of 8278 and 8282?

We will first find the prime factorization of 8278 and 8282. After we will calculate the factors of 8278 and 8282 and find the biggest common factor number .

Step-1: Prime Factorization of 8278

Prime factors of 8278 are 2, 4139. Prime factorization of 8278 in exponential form is:

8278 = 2¹ × 4139¹

Step-2: 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-3: Factors of 8278

List of positive integer factors of 8278 that divides 8278 without a remainder.

1, 2, 4139

Step-4: Factors of 8282

List of positive integer factors of 8282 that divides 8278 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8278 and 8282. The biggest common factor number is the GCF number.
So the greatest common factor 8278 and 8282 is 2.

Also check out the Least Common Multiple of 8278 and 8282