What is the Greatest Common Factor of 2334 and 2346?

Greatest common factor (GCF) of 2334 and 2346 is 6.

GCF(2334,2346) = 6

We will now calculate the prime factors of 2334 and 2346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2334 and 2346.

How to find the GCF of 2334 and 2346?

We will first find the prime factorization of 2334 and 2346. After we will calculate the factors of 2334 and 2346 and find the biggest common factor number .

Step-1: Prime Factorization of 2334

Prime factors of 2334 are 2, 3, 389. Prime factorization of 2334 in exponential form is:

2334 = 2¹ × 3¹ × 389¹

Step-2: Prime Factorization of 2346

Prime factors of 2346 are 2, 3, 17, 23. Prime factorization of 2346 in exponential form is:

2346 = 2¹ × 3¹ × 17¹ × 23¹

Step-3: Factors of 2334

List of positive integer factors of 2334 that divides 2334 without a remainder.

1, 2, 3, 6, 389, 778, 1167

Step-4: Factors of 2346

List of positive integer factors of 2346 that divides 2334 without a remainder.

1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2334 and 2346. The biggest common factor number is the GCF number.
So the greatest common factor 2334 and 2346 is 6.

Also check out the Least Common Multiple of 2334 and 2346