What is the Greatest Common Factor of 8294 and 8306?

Greatest common factor (GCF) of 8294 and 8306 is 2.

GCF(8294,8306) = 2

We will now calculate the prime factors of 8294 and 8306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8294 and 8306.

How to find the GCF of 8294 and 8306?

We will first find the prime factorization of 8294 and 8306. After we will calculate the factors of 8294 and 8306 and find the biggest common factor number .

Step-1: Prime Factorization of 8294

Prime factors of 8294 are 2, 11, 13, 29. Prime factorization of 8294 in exponential form is:

8294 = 2¹ × 11¹ × 13¹ × 29¹

Step-2: Prime Factorization of 8306

Prime factors of 8306 are 2, 4153. Prime factorization of 8306 in exponential form is:

8306 = 2¹ × 4153¹

Step-3: Factors of 8294

List of positive integer factors of 8294 that divides 8294 without a remainder.

1, 2, 11, 13, 22, 26, 29, 58, 143, 286, 319, 377, 638, 754, 4147

Step-4: Factors of 8306

List of positive integer factors of 8306 that divides 8294 without a remainder.

1, 2, 4153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8294 and 8306. The biggest common factor number is the GCF number.
So the greatest common factor 8294 and 8306 is 2.

Also check out the Least Common Multiple of 8294 and 8306