What is the Greatest Common Factor of 96714 and 96731?

Greatest common factor (GCF) of 96714 and 96731 is 1.

GCF(96714,96731) = 1

We will now calculate the prime factors of 96714 and 96731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96714 and 96731.

How to find the GCF of 96714 and 96731?

We will first find the prime factorization of 96714 and 96731. After we will calculate the factors of 96714 and 96731 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 96731

Prime factors of 96731 are 96731. Prime factorization of 96731 in exponential form is:

96731 = 96731¹

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 96731

List of positive integer factors of 96731 that divides 96714 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96714 and 96731. The biggest common factor number is the GCF number.
So the greatest common factor 96714 and 96731 is 1.

Also check out the Least Common Multiple of 96714 and 96731