What is the Greatest Common Factor of 96876 and 96896?

Greatest common factor (GCF) of 96876 and 96896 is 4.

GCF(96876,96896) = 4

We will now calculate the prime factors of 96876 and 96896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96876 and 96896.

How to find the GCF of 96876 and 96896?

We will first find the prime factorization of 96876 and 96896. After we will calculate the factors of 96876 and 96896 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96896

Prime factors of 96896 are 2, 757. Prime factorization of 96896 in exponential form is:

96896 = 2⁷ × 757¹

Step-3: Factors of 96876

List of positive integer factors of 96876 that divides 96876 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

Step-4: Factors of 96896

List of positive integer factors of 96896 that divides 96876 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 757, 1514, 3028, 6056, 12112, 24224, 48448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96876 and 96896. The biggest common factor number is the GCF number.
So the greatest common factor 96876 and 96896 is 4.

Also check out the Least Common Multiple of 96876 and 96896