What is the Greatest Common Factor of 98348 and 98366?

Greatest common factor (GCF) of 98348 and 98366 is 2.

GCF(98348,98366) = 2

We will now calculate the prime factors of 98348 and 98366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98348 and 98366.

How to find the GCF of 98348 and 98366?

We will first find the prime factorization of 98348 and 98366. After we will calculate the factors of 98348 and 98366 and find the biggest common factor number .

Step-1: Prime Factorization of 98348

Prime factors of 98348 are 2, 23, 1069. Prime factorization of 98348 in exponential form is:

98348 = 2² × 23¹ × 1069¹

Step-2: Prime Factorization of 98366

Prime factors of 98366 are 2, 137, 359. Prime factorization of 98366 in exponential form is:

98366 = 2¹ × 137¹ × 359¹

Step-3: Factors of 98348

List of positive integer factors of 98348 that divides 98348 without a remainder.

1, 2, 4, 23, 46, 92, 1069, 2138, 4276, 24587, 49174

Step-4: Factors of 98366

List of positive integer factors of 98366 that divides 98348 without a remainder.

1, 2, 137, 274, 359, 718, 49183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98348 and 98366. The biggest common factor number is the GCF number.
So the greatest common factor 98348 and 98366 is 2.

Also check out the Least Common Multiple of 98348 and 98366