What is the Greatest Common Factor of 52398 and 52418?

Greatest common factor (GCF) of 52398 and 52418 is 2.

GCF(52398,52418) = 2

We will now calculate the prime factors of 52398 and 52418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52398 and 52418.

How to find the GCF of 52398 and 52418?

We will first find the prime factorization of 52398 and 52418. After we will calculate the factors of 52398 and 52418 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 52418

Prime factors of 52418 are 2, 26209. Prime factorization of 52418 in exponential form is:

52418 = 2¹ × 26209¹

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 52418

List of positive integer factors of 52418 that divides 52398 without a remainder.

1, 2, 26209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52398 and 52418. The biggest common factor number is the GCF number.
So the greatest common factor 52398 and 52418 is 2.

Also check out the Least Common Multiple of 52398 and 52418