What is the Greatest Common Factor of 98382 and 98398?

Greatest common factor (GCF) of 98382 and 98398 is 2.

GCF(98382,98398) = 2

We will now calculate the prime factors of 98382 and 98398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98382 and 98398.

How to find the GCF of 98382 and 98398?

We will first find the prime factorization of 98382 and 98398. After we will calculate the factors of 98382 and 98398 and find the biggest common factor number .

Step-1: Prime Factorization of 98382

Prime factors of 98382 are 2, 3, 19, 863. Prime factorization of 98382 in exponential form is:

98382 = 2¹ × 3¹ × 19¹ × 863¹

Step-2: Prime Factorization of 98398

Prime factors of 98398 are 2, 49199. Prime factorization of 98398 in exponential form is:

98398 = 2¹ × 49199¹

Step-3: Factors of 98382

List of positive integer factors of 98382 that divides 98382 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 863, 1726, 2589, 5178, 16397, 32794, 49191

Step-4: Factors of 98398

List of positive integer factors of 98398 that divides 98382 without a remainder.

1, 2, 49199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98382 and 98398. The biggest common factor number is the GCF number.
So the greatest common factor 98382 and 98398 is 2.

Also check out the Least Common Multiple of 98382 and 98398