What is the Greatest Common Factor of 96684 and 96693?

Greatest common factor (GCF) of 96684 and 96693 is 3.

GCF(96684,96693) = 3

We will now calculate the prime factors of 96684 and 96693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96684 and 96693.

How to find the GCF of 96684 and 96693?

We will first find the prime factorization of 96684 and 96693. After we will calculate the factors of 96684 and 96693 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 96693

Prime factors of 96693 are 3, 167, 193. Prime factorization of 96693 in exponential form is:

96693 = 3¹ × 167¹ × 193¹

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 96693

List of positive integer factors of 96693 that divides 96684 without a remainder.

1, 3, 167, 193, 501, 579, 32231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96684 and 96693. The biggest common factor number is the GCF number.
So the greatest common factor 96684 and 96693 is 3.

Also check out the Least Common Multiple of 96684 and 96693