What is the Greatest Common Factor of 96709 and 96714?

Greatest common factor (GCF) of 96709 and 96714 is 1.

GCF(96709,96714) = 1

We will now calculate the prime factors of 96709 and 96714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96709 and 96714.

How to find the GCF of 96709 and 96714?

We will first find the prime factorization of 96709 and 96714. After we will calculate the factors of 96709 and 96714 and find the biggest common factor number .

Step-1: Prime Factorization of 96709

Prime factors of 96709 are 97, 997. Prime factorization of 96709 in exponential form is:

96709 = 97¹ × 997¹

Step-2: 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-3: Factors of 96709

List of positive integer factors of 96709 that divides 96709 without a remainder.

1, 97, 997

Step-4: Factors of 96714

List of positive integer factors of 96714 that divides 96709 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96709 and 96714. The biggest common factor number is the GCF number.
So the greatest common factor 96709 and 96714 is 1.

Also check out the Least Common Multiple of 96709 and 96714