What is the Greatest Common Factor of 6334 and 6346?

Greatest common factor (GCF) of 6334 and 6346 is 2.

GCF(6334,6346) = 2

We will now calculate the prime factors of 6334 and 6346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6334 and 6346.

How to find the GCF of 6334 and 6346?

We will first find the prime factorization of 6334 and 6346. After we will calculate the factors of 6334 and 6346 and find the biggest common factor number .

Step-1: Prime Factorization of 6334

Prime factors of 6334 are 2, 3167. Prime factorization of 6334 in exponential form is:

6334 = 2¹ × 3167¹

Step-2: Prime Factorization of 6346

Prime factors of 6346 are 2, 19, 167. Prime factorization of 6346 in exponential form is:

6346 = 2¹ × 19¹ × 167¹

Step-3: Factors of 6334

List of positive integer factors of 6334 that divides 6334 without a remainder.

1, 2, 3167

Step-4: Factors of 6346

List of positive integer factors of 6346 that divides 6334 without a remainder.

1, 2, 19, 38, 167, 334, 3173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6334 and 6346. The biggest common factor number is the GCF number.
So the greatest common factor 6334 and 6346 is 2.

Also check out the Least Common Multiple of 6334 and 6346