What is the Greatest Common Factor of 4317 and 4323?

Greatest common factor (GCF) of 4317 and 4323 is 3.

GCF(4317,4323) = 3

We will now calculate the prime factors of 4317 and 4323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4317 and 4323.

How to find the GCF of 4317 and 4323?

We will first find the prime factorization of 4317 and 4323. After we will calculate the factors of 4317 and 4323 and find the biggest common factor number .

Step-1: Prime Factorization of 4317

Prime factors of 4317 are 3, 1439. Prime factorization of 4317 in exponential form is:

4317 = 3¹ × 1439¹

Step-2: 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-3: Factors of 4317

List of positive integer factors of 4317 that divides 4317 without a remainder.

1, 3, 1439

Step-4: Factors of 4323

List of positive integer factors of 4323 that divides 4317 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4317 and 4323. The biggest common factor number is the GCF number.
So the greatest common factor 4317 and 4323 is 3.

Also check out the Least Common Multiple of 4317 and 4323