What is the Greatest Common Factor of 98431 and 98441?

Greatest common factor (GCF) of 98431 and 98441 is 1.

GCF(98431,98441) = 1

We will now calculate the prime factors of 98431 and 98441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98431 and 98441.

How to find the GCF of 98431 and 98441?

We will first find the prime factorization of 98431 and 98441. After we will calculate the factors of 98431 and 98441 and find the biggest common factor number .

Step-1: Prime Factorization of 98431

Prime factors of 98431 are 257, 383. Prime factorization of 98431 in exponential form is:

98431 = 257¹ × 383¹

Step-2: Prime Factorization of 98441

Prime factors of 98441 are 7, 41. Prime factorization of 98441 in exponential form is:

98441 = 7⁴ × 41¹

Step-3: Factors of 98431

List of positive integer factors of 98431 that divides 98431 without a remainder.

1, 257, 383

Step-4: Factors of 98441

List of positive integer factors of 98441 that divides 98431 without a remainder.

1, 7, 41, 49, 287, 343, 2009, 2401, 14063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98431 and 98441. The biggest common factor number is the GCF number.
So the greatest common factor 98431 and 98441 is 1.

Also check out the Least Common Multiple of 98431 and 98441