What is the Greatest Common Factor of 98306 and 98322?

Greatest common factor (GCF) of 98306 and 98322 is 2.

GCF(98306,98322) = 2

We will now calculate the prime factors of 98306 and 98322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98306 and 98322.

How to find the GCF of 98306 and 98322?

We will first find the prime factorization of 98306 and 98322. After we will calculate the factors of 98306 and 98322 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 98322

Prime factors of 98322 are 2, 3, 7, 2341. Prime factorization of 98322 in exponential form is:

98322 = 2¹ × 3¹ × 7¹ × 2341¹

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 98322

List of positive integer factors of 98322 that divides 98306 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2341, 4682, 7023, 14046, 16387, 32774, 49161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98306 and 98322. The biggest common factor number is the GCF number.
So the greatest common factor 98306 and 98322 is 2.

Also check out the Least Common Multiple of 98306 and 98322