What is the Greatest Common Factor of 96684 and 96696?

Greatest common factor (GCF) of 96684 and 96696 is 12.

GCF(96684,96696) = 12

We will now calculate the prime factors of 96684 and 96696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96684 and 96696.

How to find the GCF of 96684 and 96696?

We will first find the prime factorization of 96684 and 96696. After we will calculate the factors of 96684 and 96696 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 96696

Prime factors of 96696 are 2, 3, 17, 79. Prime factorization of 96696 in exponential form is:

96696 = 2³ × 3² × 17¹ × 79¹

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 96696

List of positive integer factors of 96696 that divides 96684 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 79, 102, 136, 153, 158, 204, 237, 306, 316, 408, 474, 612, 632, 711, 948, 1224, 1343, 1422, 1896, 2686, 2844, 4029, 5372, 5688, 8058, 10744, 12087, 16116, 24174, 32232, 48348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96684 and 96696. The biggest common factor number is the GCF number.
So the greatest common factor 96684 and 96696 is 12.

Also check out the Least Common Multiple of 96684 and 96696