What is the Greatest Common Factor of 99016 and 99036?

Greatest common factor (GCF) of 99016 and 99036 is 4.

GCF(99016,99036) = 4

We will now calculate the prime factors of 99016 and 99036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99016 and 99036.

How to find the GCF of 99016 and 99036?

We will first find the prime factorization of 99016 and 99036. After we will calculate the factors of 99016 and 99036 and find the biggest common factor number .

Step-1: Prime Factorization of 99016

Prime factors of 99016 are 2, 12377. Prime factorization of 99016 in exponential form is:

99016 = 2³ × 12377¹

Step-2: 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-3: Factors of 99016

List of positive integer factors of 99016 that divides 99016 without a remainder.

1, 2, 4, 8, 12377, 24754, 49508

Step-4: Factors of 99036

List of positive integer factors of 99036 that divides 99016 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99016 and 99036. The biggest common factor number is the GCF number.
So the greatest common factor 99016 and 99036 is 4.

Also check out the Least Common Multiple of 99016 and 99036