What is the Greatest Common Factor of 4338 and 4346?

Greatest common factor (GCF) of 4338 and 4346 is 2.

GCF(4338,4346) = 2

We will now calculate the prime factors of 4338 and 4346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4338 and 4346.

How to find the GCF of 4338 and 4346?

We will first find the prime factorization of 4338 and 4346. After we will calculate the factors of 4338 and 4346 and find the biggest common factor number .

Step-1: Prime Factorization of 4338

Prime factors of 4338 are 2, 3, 241. Prime factorization of 4338 in exponential form is:

4338 = 2¹ × 3² × 241¹

Step-2: Prime Factorization of 4346

Prime factors of 4346 are 2, 41, 53. Prime factorization of 4346 in exponential form is:

4346 = 2¹ × 41¹ × 53¹

Step-3: Factors of 4338

List of positive integer factors of 4338 that divides 4338 without a remainder.

1, 2, 3, 6, 9, 18, 241, 482, 723, 1446, 2169

Step-4: Factors of 4346

List of positive integer factors of 4346 that divides 4338 without a remainder.

1, 2, 41, 53, 82, 106, 2173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4338 and 4346. The biggest common factor number is the GCF number.
So the greatest common factor 4338 and 4346 is 2.

Also check out the Least Common Multiple of 4338 and 4346