What is the Greatest Common Factor of 98382 and 98397?

Greatest common factor (GCF) of 98382 and 98397 is 3.

GCF(98382,98397) = 3

We will now calculate the prime factors of 98382 and 98397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98382 and 98397.

How to find the GCF of 98382 and 98397?

We will first find the prime factorization of 98382 and 98397. After we will calculate the factors of 98382 and 98397 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 98397

Prime factors of 98397 are 3, 13, 29. Prime factorization of 98397 in exponential form is:

98397 = 3² × 13¹ × 29²

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 98397

List of positive integer factors of 98397 that divides 98382 without a remainder.

1, 3, 9, 13, 29, 39, 87, 117, 261, 377, 841, 1131, 2523, 3393, 7569, 10933, 32799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98382 and 98397. The biggest common factor number is the GCF number.
So the greatest common factor 98382 and 98397 is 3.

Also check out the Least Common Multiple of 98382 and 98397