What is the Greatest Common Factor of 52323 and 52339?

Greatest common factor (GCF) of 52323 and 52339 is 1.

GCF(52323,52339) = 1

We will now calculate the prime factors of 52323 and 52339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52323 and 52339.

How to find the GCF of 52323 and 52339?

We will first find the prime factorization of 52323 and 52339. After we will calculate the factors of 52323 and 52339 and find the biggest common factor number .

Step-1: Prime Factorization of 52323

Prime factors of 52323 are 3, 107, 163. Prime factorization of 52323 in exponential form is:

52323 = 3¹ × 107¹ × 163¹

Step-2: Prime Factorization of 52339

Prime factors of 52339 are 7, 7477. Prime factorization of 52339 in exponential form is:

52339 = 7¹ × 7477¹

Step-3: Factors of 52323

List of positive integer factors of 52323 that divides 52323 without a remainder.

1, 3, 107, 163, 321, 489, 17441

Step-4: Factors of 52339

List of positive integer factors of 52339 that divides 52323 without a remainder.

1, 7, 7477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52323 and 52339. The biggest common factor number is the GCF number.
So the greatest common factor 52323 and 52339 is 1.

Also check out the Least Common Multiple of 52323 and 52339