What is the Greatest Common Factor of 96678 and 96684?

Greatest common factor (GCF) of 96678 and 96684 is 6.

GCF(96678,96684) = 6

We will now calculate the prime factors of 96678 and 96684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96678 and 96684.

How to find the GCF of 96678 and 96684?

We will first find the prime factorization of 96678 and 96684. After we will calculate the factors of 96678 and 96684 and find the biggest common factor number .

Step-1: Prime Factorization of 96678

Prime factors of 96678 are 2, 3, 41, 131. Prime factorization of 96678 in exponential form is:

96678 = 2¹ × 3² × 41¹ × 131¹

Step-2: 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-3: Factors of 96678

List of positive integer factors of 96678 that divides 96678 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 131, 246, 262, 369, 393, 738, 786, 1179, 2358, 5371, 10742, 16113, 32226, 48339

Step-4: Factors of 96684

List of positive integer factors of 96684 that divides 96678 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96678 and 96684. The biggest common factor number is the GCF number.
So the greatest common factor 96678 and 96684 is 6.

Also check out the Least Common Multiple of 96678 and 96684