What is the Greatest Common Factor of 98306 and 98323?

Greatest common factor (GCF) of 98306 and 98323 is 1.

GCF(98306,98323) = 1

We will now calculate the prime factors of 98306 and 98323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98306 and 98323.

How to find the GCF of 98306 and 98323?

We will first find the prime factorization of 98306 and 98323. After we will calculate the factors of 98306 and 98323 and find the biggest common factor number .

Step-1: Prime Factorization of 98306

Prime factors of 98306 are 2, 13, 19, 199. Prime factorization of 98306 in exponential form is:

98306 = 2¹ × 13¹ × 19¹ × 199¹

Step-2: Prime Factorization of 98323

Prime factors of 98323 are 98323. Prime factorization of 98323 in exponential form is:

98323 = 98323¹

Step-3: Factors of 98306

List of positive integer factors of 98306 that divides 98306 without a remainder.

1, 2, 13, 19, 26, 38, 199, 247, 398, 494, 2587, 3781, 5174, 7562, 49153

Step-4: Factors of 98323

List of positive integer factors of 98323 that divides 98306 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98306 and 98323. The biggest common factor number is the GCF number.
So the greatest common factor 98306 and 98323 is 1.

Also check out the Least Common Multiple of 98306 and 98323