What is the Greatest Common Factor of 96714 and 96734?

Greatest common factor (GCF) of 96714 and 96734 is 2.

GCF(96714,96734) = 2

We will now calculate the prime factors of 96714 and 96734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96714 and 96734.

How to find the GCF of 96714 and 96734?

We will first find the prime factorization of 96714 and 96734. After we will calculate the factors of 96714 and 96734 and find the biggest common factor number .

Step-1: Prime Factorization of 96714

Prime factors of 96714 are 2, 3, 199. Prime factorization of 96714 in exponential form is:

96714 = 2¹ × 3⁵ × 199¹

Step-2: Prime Factorization of 96734

Prime factors of 96734 are 2, 11, 4397. Prime factorization of 96734 in exponential form is:

96734 = 2¹ × 11¹ × 4397¹

Step-3: Factors of 96714

List of positive integer factors of 96714 that divides 96714 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 199, 243, 398, 486, 597, 1194, 1791, 3582, 5373, 10746, 16119, 32238, 48357

Step-4: Factors of 96734

List of positive integer factors of 96734 that divides 96714 without a remainder.

1, 2, 11, 22, 4397, 8794, 48367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96714 and 96734. The biggest common factor number is the GCF number.
So the greatest common factor 96714 and 96734 is 2.

Also check out the Least Common Multiple of 96714 and 96734