What is the Greatest Common Factor of 98306 and 98319?

Greatest common factor (GCF) of 98306 and 98319 is 13.

GCF(98306,98319) = 13

We will now calculate the prime factors of 98306 and 98319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98306 and 98319.

How to find the GCF of 98306 and 98319?

We will first find the prime factorization of 98306 and 98319. After we will calculate the factors of 98306 and 98319 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 98319

Prime factors of 98319 are 3, 13, 2521. Prime factorization of 98319 in exponential form is:

98319 = 3¹ × 13¹ × 2521¹

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 98319

List of positive integer factors of 98319 that divides 98306 without a remainder.

1, 3, 13, 39, 2521, 7563, 32773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98306 and 98319. The biggest common factor number is the GCF number.
So the greatest common factor 98306 and 98319 is 13.

Also check out the Least Common Multiple of 98306 and 98319