What is the Greatest Common Factor of 4323 and 4338?

Greatest common factor (GCF) of 4323 and 4338 is 3.

GCF(4323,4338) = 3

We will now calculate the prime factors of 4323 and 4338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4323 and 4338.

How to find the GCF of 4323 and 4338?

We will first find the prime factorization of 4323 and 4338. After we will calculate the factors of 4323 and 4338 and find the biggest common factor number .

Step-1: Prime Factorization of 4323

Prime factors of 4323 are 3, 11, 131. Prime factorization of 4323 in exponential form is:

4323 = 3¹ × 11¹ × 131¹

Step-2: 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-3: Factors of 4323

List of positive integer factors of 4323 that divides 4323 without a remainder.

1, 3, 11, 33, 131, 393, 1441

Step-4: Factors of 4338

List of positive integer factors of 4338 that divides 4323 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4323 and 4338. The biggest common factor number is the GCF number.
So the greatest common factor 4323 and 4338 is 3.

Also check out the Least Common Multiple of 4323 and 4338