What is the Greatest Common Factor of 96198 and 96214?

Greatest common factor (GCF) of 96198 and 96214 is 2.

GCF(96198,96214) = 2

We will now calculate the prime factors of 96198 and 96214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96198 and 96214.

How to find the GCF of 96198 and 96214?

We will first find the prime factorization of 96198 and 96214. After we will calculate the factors of 96198 and 96214 and find the biggest common factor number .

Step-1: Prime Factorization of 96198

Prime factors of 96198 are 2, 3, 16033. Prime factorization of 96198 in exponential form is:

96198 = 2¹ × 3¹ × 16033¹

Step-2: Prime Factorization of 96214

Prime factors of 96214 are 2, 73, 659. Prime factorization of 96214 in exponential form is:

96214 = 2¹ × 73¹ × 659¹

Step-3: Factors of 96198

List of positive integer factors of 96198 that divides 96198 without a remainder.

1, 2, 3, 6, 16033, 32066, 48099

Step-4: Factors of 96214

List of positive integer factors of 96214 that divides 96198 without a remainder.

1, 2, 73, 146, 659, 1318, 48107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96198 and 96214. The biggest common factor number is the GCF number.
So the greatest common factor 96198 and 96214 is 2.

Also check out the Least Common Multiple of 96198 and 96214