What is the Greatest Common Factor of 99876 and 99888?

Greatest common factor (GCF) of 99876 and 99888 is 12.

GCF(99876,99888) = 12

We will now calculate the prime factors of 99876 and 99888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99876 and 99888.

How to find the GCF of 99876 and 99888?

We will first find the prime factorization of 99876 and 99888. After we will calculate the factors of 99876 and 99888 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 99888

Prime factors of 99888 are 2, 3, 2081. Prime factorization of 99888 in exponential form is:

99888 = 2⁴ × 3¹ × 2081¹

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 99888

List of positive integer factors of 99888 that divides 99876 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2081, 4162, 6243, 8324, 12486, 16648, 24972, 33296, 49944

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99876 and 99888. The biggest common factor number is the GCF number.
So the greatest common factor 99876 and 99888 is 12.

Also check out the Least Common Multiple of 99876 and 99888