What is the Greatest Common Factor of 96398 and 96414?

Greatest common factor (GCF) of 96398 and 96414 is 2.

GCF(96398,96414) = 2

We will now calculate the prime factors of 96398 and 96414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96398 and 96414.

How to find the GCF of 96398 and 96414?

We will first find the prime factorization of 96398 and 96414. After we will calculate the factors of 96398 and 96414 and find the biggest common factor number .

Step-1: Prime Factorization of 96398

Prime factors of 96398 are 2, 157, 307. Prime factorization of 96398 in exponential form is:

96398 = 2¹ × 157¹ × 307¹

Step-2: Prime Factorization of 96414

Prime factors of 96414 are 2, 3, 16069. Prime factorization of 96414 in exponential form is:

96414 = 2¹ × 3¹ × 16069¹

Step-3: Factors of 96398

List of positive integer factors of 96398 that divides 96398 without a remainder.

1, 2, 157, 307, 314, 614, 48199

Step-4: Factors of 96414

List of positive integer factors of 96414 that divides 96398 without a remainder.

1, 2, 3, 6, 16069, 32138, 48207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96398 and 96414. The biggest common factor number is the GCF number.
So the greatest common factor 96398 and 96414 is 2.

Also check out the Least Common Multiple of 96398 and 96414