What is the Greatest Common Factor of 96714 and 96718?

Greatest common factor (GCF) of 96714 and 96718 is 2.

GCF(96714,96718) = 2

We will now calculate the prime factors of 96714 and 96718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96714 and 96718.

How to find the GCF of 96714 and 96718?

We will first find the prime factorization of 96714 and 96718. After we will calculate the factors of 96714 and 96718 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 96718

Prime factors of 96718 are 2, 37, 1307. Prime factorization of 96718 in exponential form is:

96718 = 2¹ × 37¹ × 1307¹

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 96718

List of positive integer factors of 96718 that divides 96714 without a remainder.

1, 2, 37, 74, 1307, 2614, 48359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96714 and 96718. The biggest common factor number is the GCF number.
So the greatest common factor 96714 and 96718 is 2.

Also check out the Least Common Multiple of 96714 and 96718