What is the Greatest Common Factor of 96858 and 96876?

Greatest common factor (GCF) of 96858 and 96876 is 18.

GCF(96858,96876) = 18

We will now calculate the prime factors of 96858 and 96876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96858 and 96876.

How to find the GCF of 96858 and 96876?

We will first find the prime factorization of 96858 and 96876. After we will calculate the factors of 96858 and 96876 and find the biggest common factor number .

Step-1: Prime Factorization of 96858

Prime factors of 96858 are 2, 3, 5381. Prime factorization of 96858 in exponential form is:

96858 = 2¹ × 3² × 5381¹

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 96858

List of positive integer factors of 96858 that divides 96858 without a remainder.

1, 2, 3, 6, 9, 18, 5381, 10762, 16143, 32286, 48429

Step-4: Factors of 96876

List of positive integer factors of 96876 that divides 96858 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 96858 and 96876. The biggest common factor number is the GCF number.
So the greatest common factor 96858 and 96876 is 18.

Also check out the Least Common Multiple of 96858 and 96876