What is the Greatest Common Factor of 99856 and 99876?

Greatest common factor (GCF) of 99856 and 99876 is 4.

GCF(99856,99876) = 4

We will now calculate the prime factors of 99856 and 99876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99856 and 99876.

How to find the GCF of 99856 and 99876?

We will first find the prime factorization of 99856 and 99876. After we will calculate the factors of 99856 and 99876 and find the biggest common factor number .

Step-1: Prime Factorization of 99856

Prime factors of 99856 are 2, 79. Prime factorization of 99856 in exponential form is:

99856 = 2⁴ × 79²

Step-2: 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-3: Factors of 99856

List of positive integer factors of 99856 that divides 99856 without a remainder.

1, 2, 4, 8, 16, 79, 158, 316, 632, 1264, 6241, 12482, 24964, 49928

Step-4: Factors of 99876

List of positive integer factors of 99876 that divides 99856 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99856 and 99876. The biggest common factor number is the GCF number.
So the greatest common factor 99856 and 99876 is 4.

Also check out the Least Common Multiple of 99856 and 99876