What is the Greatest Common Factor of 52326 and 52334?

Greatest common factor (GCF) of 52326 and 52334 is 2.

GCF(52326,52334) = 2

We will now calculate the prime factors of 52326 and 52334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52326 and 52334.

How to find the GCF of 52326 and 52334?

We will first find the prime factorization of 52326 and 52334. After we will calculate the factors of 52326 and 52334 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52334

Prime factors of 52334 are 2, 137, 191. Prime factorization of 52334 in exponential form is:

52334 = 2¹ × 137¹ × 191¹

Step-3: Factors of 52326

List of positive integer factors of 52326 that divides 52326 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

Step-4: Factors of 52334

List of positive integer factors of 52334 that divides 52326 without a remainder.

1, 2, 137, 191, 274, 382, 26167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52326 and 52334. The biggest common factor number is the GCF number.
So the greatest common factor 52326 and 52334 is 2.

Also check out the Least Common Multiple of 52326 and 52334