What is the Greatest Common Factor of 99876 and 99891?

Greatest common factor (GCF) of 99876 and 99891 is 3.

GCF(99876,99891) = 3

We will now calculate the prime factors of 99876 and 99891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99876 and 99891.

How to find the GCF of 99876 and 99891?

We will first find the prime factorization of 99876 and 99891. After we will calculate the factors of 99876 and 99891 and find the biggest common factor number .

Step-1: Prime Factorization of 99876

Prime factors of 99876 are 2, 3, 7, 29, 41. Prime factorization of 99876 in exponential form is:

99876 = 2² × 3¹ × 7¹ × 29¹ × 41¹

Step-2: Prime Factorization of 99891

Prime factors of 99891 are 3, 11, 1009. Prime factorization of 99891 in exponential form is:

99891 = 3² × 11¹ × 1009¹

Step-3: Factors of 99876

List of positive integer factors of 99876 that divides 99876 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 41, 42, 58, 82, 84, 87, 116, 123, 164, 174, 203, 246, 287, 348, 406, 492, 574, 609, 812, 861, 1148, 1189, 1218, 1722, 2378, 2436, 3444, 3567, 4756, 7134, 8323, 14268, 16646, 24969, 33292, 49938

Step-4: Factors of 99891

List of positive integer factors of 99891 that divides 99876 without a remainder.

1, 3, 9, 11, 33, 99, 1009, 3027, 9081, 11099, 33297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99876 and 99891. The biggest common factor number is the GCF number.
So the greatest common factor 99876 and 99891 is 3.

Also check out the Least Common Multiple of 99876 and 99891