What is the Greatest Common Factor of 8334 and 8342?

Greatest common factor (GCF) of 8334 and 8342 is 2.

GCF(8334,8342) = 2

We will now calculate the prime factors of 8334 and 8342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8334 and 8342.

How to find the GCF of 8334 and 8342?

We will first find the prime factorization of 8334 and 8342. After we will calculate the factors of 8334 and 8342 and find the biggest common factor number .

Step-1: Prime Factorization of 8334

Prime factors of 8334 are 2, 3, 463. Prime factorization of 8334 in exponential form is:

8334 = 2¹ × 3² × 463¹

Step-2: Prime Factorization of 8342

Prime factors of 8342 are 2, 43, 97. Prime factorization of 8342 in exponential form is:

8342 = 2¹ × 43¹ × 97¹

Step-3: Factors of 8334

List of positive integer factors of 8334 that divides 8334 without a remainder.

1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167

Step-4: Factors of 8342

List of positive integer factors of 8342 that divides 8334 without a remainder.

1, 2, 43, 86, 97, 194, 4171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8334 and 8342. The biggest common factor number is the GCF number.
So the greatest common factor 8334 and 8342 is 2.

Also check out the Least Common Multiple of 8334 and 8342