What is the Greatest Common Factor of 96864 and 96876?

Greatest common factor (GCF) of 96864 and 96876 is 12.

GCF(96864,96876) = 12

We will now calculate the prime factors of 96864 and 96876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96864 and 96876.

How to find the GCF of 96864 and 96876?

We will first find the prime factorization of 96864 and 96876. After we will calculate the factors of 96864 and 96876 and find the biggest common factor number .

Step-1: Prime Factorization of 96864

Prime factors of 96864 are 2, 3, 1009. Prime factorization of 96864 in exponential form is:

96864 = 2⁵ × 3¹ × 1009¹

Step-2: Prime Factorization of 96876

Prime factors of 96876 are 2, 3, 13, 23. Prime factorization of 96876 in exponential form is:

96876 = 2² × 3⁴ × 13¹ × 23¹

Step-3: Factors of 96864

List of positive integer factors of 96864 that divides 96864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1009, 2018, 3027, 4036, 6054, 8072, 12108, 16144, 24216, 32288, 48432

Step-4: Factors of 96876

List of positive integer factors of 96876 that divides 96864 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 23, 26, 27, 36, 39, 46, 52, 54, 69, 78, 81, 92, 108, 117, 138, 156, 162, 207, 234, 276, 299, 324, 351, 414, 468, 598, 621, 702, 828, 897, 1053, 1196, 1242, 1404, 1794, 1863, 2106, 2484, 2691, 3588, 3726, 4212, 5382, 7452, 8073, 10764, 16146, 24219, 32292, 48438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96864 and 96876. The biggest common factor number is the GCF number.
So the greatest common factor 96864 and 96876 is 12.

Also check out the Least Common Multiple of 96864 and 96876