What is the Greatest Common Factor of 99036 and 99044?

Greatest common factor (GCF) of 99036 and 99044 is 4.

GCF(99036,99044) = 4

We will now calculate the prime factors of 99036 and 99044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99036 and 99044.

How to find the GCF of 99036 and 99044?

We will first find the prime factorization of 99036 and 99044. After we will calculate the factors of 99036 and 99044 and find the biggest common factor number .

Step-1: Prime Factorization of 99036

Prime factors of 99036 are 2, 3, 7, 131. Prime factorization of 99036 in exponential form is:

99036 = 2² × 3³ × 7¹ × 131¹

Step-2: Prime Factorization of 99044

Prime factors of 99044 are 2, 11, 2251. Prime factorization of 99044 in exponential form is:

99044 = 2² × 11¹ × 2251¹

Step-3: Factors of 99036

List of positive integer factors of 99036 that divides 99036 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 131, 189, 252, 262, 378, 393, 524, 756, 786, 917, 1179, 1572, 1834, 2358, 2751, 3537, 3668, 4716, 5502, 7074, 8253, 11004, 14148, 16506, 24759, 33012, 49518

Step-4: Factors of 99044

List of positive integer factors of 99044 that divides 99036 without a remainder.

1, 2, 4, 11, 22, 44, 2251, 4502, 9004, 24761, 49522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99036 and 99044. The biggest common factor number is the GCF number.
So the greatest common factor 99036 and 99044 is 4.

Also check out the Least Common Multiple of 99036 and 99044