What is the Greatest Common Factor of 52308 and 52326?

Greatest common factor (GCF) of 52308 and 52326 is 18.

GCF(52308,52326) = 18

We will now calculate the prime factors of 52308 and 52326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52308 and 52326.

How to find the GCF of 52308 and 52326?

We will first find the prime factorization of 52308 and 52326. After we will calculate the factors of 52308 and 52326 and find the biggest common factor number .

Step-1: Prime Factorization of 52308

Prime factors of 52308 are 2, 3, 1453. Prime factorization of 52308 in exponential form is:

52308 = 2² × 3² × 1453¹

Step-2: Prime Factorization of 52326

Prime factors of 52326 are 2, 3, 17, 19. Prime factorization of 52326 in exponential form is:

52326 = 2¹ × 3⁴ × 17¹ × 19¹

Step-3: Factors of 52308

List of positive integer factors of 52308 that divides 52308 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1453, 2906, 4359, 5812, 8718, 13077, 17436, 26154

Step-4: Factors of 52326

List of positive integer factors of 52326 that divides 52308 without a remainder.

1, 2, 3, 6, 9, 17, 18, 19, 27, 34, 38, 51, 54, 57, 81, 102, 114, 153, 162, 171, 306, 323, 342, 459, 513, 646, 918, 969, 1026, 1377, 1539, 1938, 2754, 2907, 3078, 5814, 8721, 17442, 26163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52308 and 52326. The biggest common factor number is the GCF number.
So the greatest common factor 52308 and 52326 is 18.

Also check out the Least Common Multiple of 52308 and 52326