What is the Greatest Common Factor of 52398 and 52407?

Greatest common factor (GCF) of 52398 and 52407 is 9.

GCF(52398,52407) = 9

We will now calculate the prime factors of 52398 and 52407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52398 and 52407.

How to find the GCF of 52398 and 52407?

We will first find the prime factorization of 52398 and 52407. After we will calculate the factors of 52398 and 52407 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 52407

Prime factors of 52407 are 3, 647. Prime factorization of 52407 in exponential form is:

52407 = 3⁴ × 647¹

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 52407

List of positive integer factors of 52407 that divides 52398 without a remainder.

1, 3, 9, 27, 81, 647, 1941, 5823, 17469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52398 and 52407. The biggest common factor number is the GCF number.
So the greatest common factor 52398 and 52407 is 9.

Also check out the Least Common Multiple of 52398 and 52407