What is the Greatest Common Factor of 99036 and 99042?

Greatest common factor (GCF) of 99036 and 99042 is 6.

GCF(99036,99042) = 6

We will now calculate the prime factors of 99036 and 99042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99036 and 99042.

How to find the GCF of 99036 and 99042?

We will first find the prime factorization of 99036 and 99042. After we will calculate the factors of 99036 and 99042 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 99042

Prime factors of 99042 are 2, 3, 17, 971. Prime factorization of 99042 in exponential form is:

99042 = 2¹ × 3¹ × 17¹ × 971¹

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 99042

List of positive integer factors of 99042 that divides 99036 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 971, 1942, 2913, 5826, 16507, 33014, 49521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99036 and 99042. The biggest common factor number is the GCF number.
So the greatest common factor 99036 and 99042 is 6.

Also check out the Least Common Multiple of 99036 and 99042