What is the Greatest Common Factor of 98531 and 98549?

Greatest common factor (GCF) of 98531 and 98549 is 1.

GCF(98531,98549) = 1

We will now calculate the prime factors of 98531 and 98549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98531 and 98549.

How to find the GCF of 98531 and 98549?

We will first find the prime factorization of 98531 and 98549. After we will calculate the factors of 98531 and 98549 and find the biggest common factor number .

Step-1: Prime Factorization of 98531

Prime factors of 98531 are 37, 2663. Prime factorization of 98531 in exponential form is:

98531 = 37¹ × 2663¹

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 98531

List of positive integer factors of 98531 that divides 98531 without a remainder.

1, 37, 2663

Step-4: Factors of 98549

List of positive integer factors of 98549 that divides 98531 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 98531 and 98549. The biggest common factor number is the GCF number.
So the greatest common factor 98531 and 98549 is 1.

Also check out the Least Common Multiple of 98531 and 98549