What is the Greatest Common Factor of 8334 and 8346?

Greatest common factor (GCF) of 8334 and 8346 is 6.

GCF(8334,8346) = 6

We will now calculate the prime factors of 8334 and 8346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8334 and 8346.

How to find the GCF of 8334 and 8346?

We will first find the prime factorization of 8334 and 8346. After we will calculate the factors of 8334 and 8346 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 8346

Prime factors of 8346 are 2, 3, 13, 107. Prime factorization of 8346 in exponential form is:

8346 = 2¹ × 3¹ × 13¹ × 107¹

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 8346

List of positive integer factors of 8346 that divides 8334 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 107, 214, 321, 642, 1391, 2782, 4173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8334 and 8346. The biggest common factor number is the GCF number.
So the greatest common factor 8334 and 8346 is 6.

Also check out the Least Common Multiple of 8334 and 8346