What is the Greatest Common Factor of 4329 and 4344?

Greatest common factor (GCF) of 4329 and 4344 is 3.

GCF(4329,4344) = 3

We will now calculate the prime factors of 4329 and 4344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4329 and 4344.

How to find the GCF of 4329 and 4344?

We will first find the prime factorization of 4329 and 4344. After we will calculate the factors of 4329 and 4344 and find the biggest common factor number .

Step-1: Prime Factorization of 4329

Prime factors of 4329 are 3, 13, 37. Prime factorization of 4329 in exponential form is:

4329 = 3² × 13¹ × 37¹

Step-2: Prime Factorization of 4344

Prime factors of 4344 are 2, 3, 181. Prime factorization of 4344 in exponential form is:

4344 = 2³ × 3¹ × 181¹

Step-3: Factors of 4329

List of positive integer factors of 4329 that divides 4329 without a remainder.

1, 3, 9, 13, 37, 39, 111, 117, 333, 481, 1443

Step-4: Factors of 4344

List of positive integer factors of 4344 that divides 4329 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 181, 362, 543, 724, 1086, 1448, 2172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4329 and 4344. The biggest common factor number is the GCF number.
So the greatest common factor 4329 and 4344 is 3.

Also check out the Least Common Multiple of 4329 and 4344