What is the Greatest Common Factor of 58382 and 58398?

Greatest common factor (GCF) of 58382 and 58398 is 2.

GCF(58382,58398) = 2

We will now calculate the prime factors of 58382 and 58398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58382 and 58398.

How to find the GCF of 58382 and 58398?

We will first find the prime factorization of 58382 and 58398. After we will calculate the factors of 58382 and 58398 and find the biggest common factor number .

Step-1: Prime Factorization of 58382

Prime factors of 58382 are 2, 29191. Prime factorization of 58382 in exponential form is:

58382 = 2¹ × 29191¹

Step-2: Prime Factorization of 58398

Prime factors of 58398 are 2, 3, 9733. Prime factorization of 58398 in exponential form is:

58398 = 2¹ × 3¹ × 9733¹

Step-3: Factors of 58382

List of positive integer factors of 58382 that divides 58382 without a remainder.

1, 2, 29191

Step-4: Factors of 58398

List of positive integer factors of 58398 that divides 58382 without a remainder.

1, 2, 3, 6, 9733, 19466, 29199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58382 and 58398. The biggest common factor number is the GCF number.
So the greatest common factor 58382 and 58398 is 2.

Also check out the Least Common Multiple of 58382 and 58398