What is the Greatest Common Factor of 52398 and 52406?

Greatest common factor (GCF) of 52398 and 52406 is 2.

GCF(52398,52406) = 2

We will now calculate the prime factors of 52398 and 52406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52398 and 52406.

How to find the GCF of 52398 and 52406?

We will first find the prime factorization of 52398 and 52406. After we will calculate the factors of 52398 and 52406 and find the biggest common factor number .

Step-1: Prime Factorization of 52398

Prime factors of 52398 are 2, 3, 41, 71. Prime factorization of 52398 in exponential form is:

52398 = 2¹ × 3² × 41¹ × 71¹

Step-2: Prime Factorization of 52406

Prime factors of 52406 are 2, 26203. Prime factorization of 52406 in exponential form is:

52406 = 2¹ × 26203¹

Step-3: Factors of 52398

List of positive integer factors of 52398 that divides 52398 without a remainder.

1, 2, 3, 6, 9, 18, 41, 71, 82, 123, 142, 213, 246, 369, 426, 639, 738, 1278, 2911, 5822, 8733, 17466, 26199

Step-4: Factors of 52406

List of positive integer factors of 52406 that divides 52398 without a remainder.

1, 2, 26203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52398 and 52406. The biggest common factor number is the GCF number.
So the greatest common factor 52398 and 52406 is 2.

Also check out the Least Common Multiple of 52398 and 52406