What is the Greatest Common Factor of 98396 and 98414?

Greatest common factor (GCF) of 98396 and 98414 is 2.

GCF(98396,98414) = 2

We will now calculate the prime factors of 98396 and 98414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98396 and 98414.

How to find the GCF of 98396 and 98414?

We will first find the prime factorization of 98396 and 98414. After we will calculate the factors of 98396 and 98414 and find the biggest common factor number .

Step-1: Prime Factorization of 98396

Prime factors of 98396 are 2, 17, 1447. Prime factorization of 98396 in exponential form is:

98396 = 2² × 17¹ × 1447¹

Step-2: Prime Factorization of 98414

Prime factors of 98414 are 2, 49207. Prime factorization of 98414 in exponential form is:

98414 = 2¹ × 49207¹

Step-3: Factors of 98396

List of positive integer factors of 98396 that divides 98396 without a remainder.

1, 2, 4, 17, 34, 68, 1447, 2894, 5788, 24599, 49198

Step-4: Factors of 98414

List of positive integer factors of 98414 that divides 98396 without a remainder.

1, 2, 49207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98396 and 98414. The biggest common factor number is the GCF number.
So the greatest common factor 98396 and 98414 is 2.

Also check out the Least Common Multiple of 98396 and 98414