What is the Greatest Common Factor of 98401 and 98413?

Greatest common factor (GCF) of 98401 and 98413 is 1.

GCF(98401,98413) = 1

We will now calculate the prime factors of 98401 and 98413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98401 and 98413.

How to find the GCF of 98401 and 98413?

We will first find the prime factorization of 98401 and 98413. After we will calculate the factors of 98401 and 98413 and find the biggest common factor number .

Step-1: Prime Factorization of 98401

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

98401 = 19¹ × 5179¹

Step-2: Prime Factorization of 98413

Prime factors of 98413 are 7, 17, 827. Prime factorization of 98413 in exponential form is:

98413 = 7¹ × 17¹ × 827¹

Step-3: Factors of 98401

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

1, 19, 5179

Step-4: Factors of 98413

List of positive integer factors of 98413 that divides 98401 without a remainder.

1, 7, 17, 119, 827, 5789, 14059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98401 and 98413. The biggest common factor number is the GCF number.
So the greatest common factor 98401 and 98413 is 1.

Also check out the Least Common Multiple of 98401 and 98413