What is the Greatest Common Factor of 96684 and 96698?

Greatest common factor (GCF) of 96684 and 96698 is 14.

GCF(96684,96698) = 14

We will now calculate the prime factors of 96684 and 96698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96684 and 96698.

How to find the GCF of 96684 and 96698?

We will first find the prime factorization of 96684 and 96698. After we will calculate the factors of 96684 and 96698 and find the biggest common factor number .

Step-1: Prime Factorization of 96684

Prime factors of 96684 are 2, 3, 7, 1151. Prime factorization of 96684 in exponential form is:

96684 = 2² × 3¹ × 7¹ × 1151¹

Step-2: Prime Factorization of 96698

Prime factors of 96698 are 2, 7, 6907. Prime factorization of 96698 in exponential form is:

96698 = 2¹ × 7¹ × 6907¹

Step-3: Factors of 96684

List of positive integer factors of 96684 that divides 96684 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1151, 2302, 3453, 4604, 6906, 8057, 13812, 16114, 24171, 32228, 48342

Step-4: Factors of 96698

List of positive integer factors of 96698 that divides 96684 without a remainder.

1, 2, 7, 14, 6907, 13814, 48349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96684 and 96698. The biggest common factor number is the GCF number.
So the greatest common factor 96684 and 96698 is 14.

Also check out the Least Common Multiple of 96684 and 96698