What is the Greatest Common Factor of 99108 and 99122?

Greatest common factor (GCF) of 99108 and 99122 is 2.

GCF(99108,99122) = 2

We will now calculate the prime factors of 99108 and 99122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99108 and 99122.

How to find the GCF of 99108 and 99122?

We will first find the prime factorization of 99108 and 99122. After we will calculate the factors of 99108 and 99122 and find the biggest common factor number .

Step-1: Prime Factorization of 99108

Prime factors of 99108 are 2, 3, 2753. Prime factorization of 99108 in exponential form is:

99108 = 2² × 3² × 2753¹

Step-2: Prime Factorization of 99122

Prime factors of 99122 are 2, 29, 1709. Prime factorization of 99122 in exponential form is:

99122 = 2¹ × 29¹ × 1709¹

Step-3: Factors of 99108

List of positive integer factors of 99108 that divides 99108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2753, 5506, 8259, 11012, 16518, 24777, 33036, 49554

Step-4: Factors of 99122

List of positive integer factors of 99122 that divides 99108 without a remainder.

1, 2, 29, 58, 1709, 3418, 49561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99108 and 99122. The biggest common factor number is the GCF number.
So the greatest common factor 99108 and 99122 is 2.

Also check out the Least Common Multiple of 99108 and 99122