What is the Greatest Common Factor of 16334 and 16346?

Greatest common factor (GCF) of 16334 and 16346 is 2.

GCF(16334,16346) = 2

We will now calculate the prime factors of 16334 and 16346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16334 and 16346.

How to find the GCF of 16334 and 16346?

We will first find the prime factorization of 16334 and 16346. After we will calculate the factors of 16334 and 16346 and find the biggest common factor number .

Step-1: Prime Factorization of 16334

Prime factors of 16334 are 2, 8167. Prime factorization of 16334 in exponential form is:

16334 = 2¹ × 8167¹

Step-2: Prime Factorization of 16346

Prime factors of 16346 are 2, 11, 743. Prime factorization of 16346 in exponential form is:

16346 = 2¹ × 11¹ × 743¹

Step-3: Factors of 16334

List of positive integer factors of 16334 that divides 16334 without a remainder.

1, 2, 8167

Step-4: Factors of 16346

List of positive integer factors of 16346 that divides 16334 without a remainder.

1, 2, 11, 22, 743, 1486, 8173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16334 and 16346. The biggest common factor number is the GCF number.
So the greatest common factor 16334 and 16346 is 2.

Also check out the Least Common Multiple of 16334 and 16346