What is the Greatest Common Factor of 98441 and 98454?

Greatest common factor (GCF) of 98441 and 98454 is 1.

GCF(98441,98454) = 1

We will now calculate the prime factors of 98441 and 98454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98441 and 98454.

How to find the GCF of 98441 and 98454?

We will first find the prime factorization of 98441 and 98454. After we will calculate the factors of 98441 and 98454 and find the biggest common factor number .

Step-1: Prime Factorization of 98441

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

98441 = 7⁴ × 41¹

Step-2: Prime Factorization of 98454

Prime factors of 98454 are 2, 3, 61, 269. Prime factorization of 98454 in exponential form is:

98454 = 2¹ × 3¹ × 61¹ × 269¹

Step-3: Factors of 98441

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

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

Step-4: Factors of 98454

List of positive integer factors of 98454 that divides 98441 without a remainder.

1, 2, 3, 6, 61, 122, 183, 269, 366, 538, 807, 1614, 16409, 32818, 49227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98441 and 98454. The biggest common factor number is the GCF number.
So the greatest common factor 98441 and 98454 is 1.

Also check out the Least Common Multiple of 98441 and 98454