What is the Greatest Common Factor of 98382 and 98401?

Greatest common factor (GCF) of 98382 and 98401 is 19.

GCF(98382,98401) = 19

We will now calculate the prime factors of 98382 and 98401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98382 and 98401.

How to find the GCF of 98382 and 98401?

We will first find the prime factorization of 98382 and 98401. After we will calculate the factors of 98382 and 98401 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 98401

Prime factors of 98401 are 19, 5179. Prime factorization of 98401 in exponential form is:

98401 = 19¹ × 5179¹

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 98401

List of positive integer factors of 98401 that divides 98382 without a remainder.

1, 19, 5179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98382 and 98401. The biggest common factor number is the GCF number.
So the greatest common factor 98382 and 98401 is 19.

Also check out the Least Common Multiple of 98382 and 98401