What is the Greatest Common Factor of 96876 and 96889?

Greatest common factor (GCF) of 96876 and 96889 is 13.

GCF(96876,96889) = 13

We will now calculate the prime factors of 96876 and 96889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96876 and 96889.

How to find the GCF of 96876 and 96889?

We will first find the prime factorization of 96876 and 96889. After we will calculate the factors of 96876 and 96889 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 96889

Prime factors of 96889 are 13, 29, 257. Prime factorization of 96889 in exponential form is:

96889 = 13¹ × 29¹ × 257¹

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 96889

List of positive integer factors of 96889 that divides 96876 without a remainder.

1, 13, 29, 257, 377, 3341, 7453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96876 and 96889. The biggest common factor number is the GCF number.
So the greatest common factor 96876 and 96889 is 13.

Also check out the Least Common Multiple of 96876 and 96889