What is the Greatest Common Factor of 96862 and 96876?

Greatest common factor (GCF) of 96862 and 96876 is 2.

GCF(96862,96876) = 2

We will now calculate the prime factors of 96862 and 96876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96862 and 96876.

How to find the GCF of 96862 and 96876?

We will first find the prime factorization of 96862 and 96876. After we will calculate the factors of 96862 and 96876 and find the biggest common factor number .

Step-1: Prime Factorization of 96862

Prime factors of 96862 are 2, 19, 2549. Prime factorization of 96862 in exponential form is:

96862 = 2¹ × 19¹ × 2549¹

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 96862

List of positive integer factors of 96862 that divides 96862 without a remainder.

1, 2, 19, 38, 2549, 5098, 48431

Step-4: Factors of 96876

List of positive integer factors of 96876 that divides 96862 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 96862 and 96876. The biggest common factor number is the GCF number.
So the greatest common factor 96862 and 96876 is 2.

Also check out the Least Common Multiple of 96862 and 96876