What is the Greatest Common Factor of 99298 and 99302?

Greatest common factor (GCF) of 99298 and 99302 is 2.

GCF(99298,99302) = 2

We will now calculate the prime factors of 99298 and 99302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99298 and 99302.

How to find the GCF of 99298 and 99302?

We will first find the prime factorization of 99298 and 99302. After we will calculate the factors of 99298 and 99302 and find the biggest common factor number .

Step-1: Prime Factorization of 99298

Prime factors of 99298 are 2, 131, 379. Prime factorization of 99298 in exponential form is:

99298 = 2¹ × 131¹ × 379¹

Step-2: Prime Factorization of 99302

Prime factors of 99302 are 2, 7, 41, 173. Prime factorization of 99302 in exponential form is:

99302 = 2¹ × 7¹ × 41¹ × 173¹

Step-3: Factors of 99298

List of positive integer factors of 99298 that divides 99298 without a remainder.

1, 2, 131, 262, 379, 758, 49649

Step-4: Factors of 99302

List of positive integer factors of 99302 that divides 99298 without a remainder.

1, 2, 7, 14, 41, 82, 173, 287, 346, 574, 1211, 2422, 7093, 14186, 49651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99298 and 99302. The biggest common factor number is the GCF number.
So the greatest common factor 99298 and 99302 is 2.

Also check out the Least Common Multiple of 99298 and 99302