What is the Greatest Common Factor of 52329 and 52344?

Greatest common factor (GCF) of 52329 and 52344 is 3.

GCF(52329,52344) = 3

We will now calculate the prime factors of 52329 and 52344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52329 and 52344.

How to find the GCF of 52329 and 52344?

We will first find the prime factorization of 52329 and 52344. After we will calculate the factors of 52329 and 52344 and find the biggest common factor number .

Step-1: Prime Factorization of 52329

Prime factors of 52329 are 3, 17443. Prime factorization of 52329 in exponential form is:

52329 = 3¹ × 17443¹

Step-2: Prime Factorization of 52344

Prime factors of 52344 are 2, 3, 727. Prime factorization of 52344 in exponential form is:

52344 = 2³ × 3² × 727¹

Step-3: Factors of 52329

List of positive integer factors of 52329 that divides 52329 without a remainder.

1, 3, 17443

Step-4: Factors of 52344

List of positive integer factors of 52344 that divides 52329 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 727, 1454, 2181, 2908, 4362, 5816, 6543, 8724, 13086, 17448, 26172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52329 and 52344. The biggest common factor number is the GCF number.
So the greatest common factor 52329 and 52344 is 3.

Also check out the Least Common Multiple of 52329 and 52344