What is the Greatest Common Factor of 98539 and 98549?

Greatest common factor (GCF) of 98539 and 98549 is 1.

GCF(98539,98549) = 1

We will now calculate the prime factors of 98539 and 98549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98539 and 98549.

How to find the GCF of 98539 and 98549?

We will first find the prime factorization of 98539 and 98549. After we will calculate the factors of 98539 and 98549 and find the biggest common factor number .

Step-1: Prime Factorization of 98539

Prime factors of 98539 are 7, 2011. Prime factorization of 98539 in exponential form is:

98539 = 7² × 2011¹

Step-2: Prime Factorization of 98549

Prime factors of 98549 are 11, 17, 31. Prime factorization of 98549 in exponential form is:

98549 = 11¹ × 17² × 31¹

Step-3: Factors of 98539

List of positive integer factors of 98539 that divides 98539 without a remainder.

1, 7, 49, 2011, 14077

Step-4: Factors of 98549

List of positive integer factors of 98549 that divides 98539 without a remainder.

1, 11, 17, 31, 187, 289, 341, 527, 3179, 5797, 8959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98539 and 98549. The biggest common factor number is the GCF number.
So the greatest common factor 98539 and 98549 is 1.

Also check out the Least Common Multiple of 98539 and 98549