What is the Greatest Common Factor of 96681 and 96699?

Greatest common factor (GCF) of 96681 and 96699 is 3.

GCF(96681,96699) = 3

We will now calculate the prime factors of 96681 and 96699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96681 and 96699.

How to find the GCF of 96681 and 96699?

We will first find the prime factorization of 96681 and 96699. After we will calculate the factors of 96681 and 96699 and find the biggest common factor number .

Step-1: Prime Factorization of 96681

Prime factors of 96681 are 3, 13, 37, 67. Prime factorization of 96681 in exponential form is:

96681 = 3¹ × 13¹ × 37¹ × 67¹

Step-2: Prime Factorization of 96699

Prime factors of 96699 are 3, 32233. Prime factorization of 96699 in exponential form is:

96699 = 3¹ × 32233¹

Step-3: Factors of 96681

List of positive integer factors of 96681 that divides 96681 without a remainder.

1, 3, 13, 37, 39, 67, 111, 201, 481, 871, 1443, 2479, 2613, 7437, 32227

Step-4: Factors of 96699

List of positive integer factors of 96699 that divides 96681 without a remainder.

1, 3, 32233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96681 and 96699. The biggest common factor number is the GCF number.
So the greatest common factor 96681 and 96699 is 3.

Also check out the Least Common Multiple of 96681 and 96699