What is the Greatest Common Factor of 98293 and 98306?

Greatest common factor (GCF) of 98293 and 98306 is 13.

GCF(98293,98306) = 13

We will now calculate the prime factors of 98293 and 98306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98293 and 98306.

How to find the GCF of 98293 and 98306?

We will first find the prime factorization of 98293 and 98306. After we will calculate the factors of 98293 and 98306 and find the biggest common factor number .

Step-1: Prime Factorization of 98293

Prime factors of 98293 are 13, 7561. Prime factorization of 98293 in exponential form is:

98293 = 13¹ × 7561¹

Step-2: 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-3: Factors of 98293

List of positive integer factors of 98293 that divides 98293 without a remainder.

1, 13, 7561

Step-4: Factors of 98306

List of positive integer factors of 98306 that divides 98293 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98293 and 98306. The biggest common factor number is the GCF number.
So the greatest common factor 98293 and 98306 is 13.

Also check out the Least Common Multiple of 98293 and 98306