What is the Greatest Common Factor of 52384 and 52398?

Greatest common factor (GCF) of 52384 and 52398 is 2.

GCF(52384,52398) = 2

We will now calculate the prime factors of 52384 and 52398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52384 and 52398.

How to find the GCF of 52384 and 52398?

We will first find the prime factorization of 52384 and 52398. After we will calculate the factors of 52384 and 52398 and find the biggest common factor number .

Step-1: Prime Factorization of 52384

Prime factors of 52384 are 2, 1637. Prime factorization of 52384 in exponential form is:

52384 = 2⁵ × 1637¹

Step-2: 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-3: Factors of 52384

List of positive integer factors of 52384 that divides 52384 without a remainder.

1, 2, 4, 8, 16, 32, 1637, 3274, 6548, 13096, 26192

Step-4: Factors of 52398

List of positive integer factors of 52398 that divides 52384 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52384 and 52398. The biggest common factor number is the GCF number.
So the greatest common factor 52384 and 52398 is 2.

Also check out the Least Common Multiple of 52384 and 52398