What is the Greatest Common Factor of 52317 and 52329?

Greatest common factor (GCF) of 52317 and 52329 is 3.

GCF(52317,52329) = 3

We will now calculate the prime factors of 52317 and 52329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52317 and 52329.

How to find the GCF of 52317 and 52329?

We will first find the prime factorization of 52317 and 52329. After we will calculate the factors of 52317 and 52329 and find the biggest common factor number .

Step-1: Prime Factorization of 52317

Prime factors of 52317 are 3, 5813. Prime factorization of 52317 in exponential form is:

52317 = 3² × 5813¹

Step-2: Prime Factorization of 52329

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

52329 = 3¹ × 17443¹

Step-3: Factors of 52317

List of positive integer factors of 52317 that divides 52317 without a remainder.

1, 3, 9, 5813, 17439

Step-4: Factors of 52329

List of positive integer factors of 52329 that divides 52317 without a remainder.

1, 3, 17443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52317 and 52329. The biggest common factor number is the GCF number.
So the greatest common factor 52317 and 52329 is 3.

Also check out the Least Common Multiple of 52317 and 52329