What is the Greatest Common Factor of 9900 and 9918?

Greatest common factor (GCF) of 9900 and 9918 is 18.

GCF(9900,9918) = 18

We will now calculate the prime factors of 9900 and 9918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9900 and 9918.

How to find the GCF of 9900 and 9918?

We will first find the prime factorization of 9900 and 9918. After we will calculate the factors of 9900 and 9918 and find the biggest common factor number .

Step-1: Prime Factorization of 9900

Prime factors of 9900 are 2, 3, 5, 11. Prime factorization of 9900 in exponential form is:

9900 = 2² × 3² × 5² × 11¹

Step-2: Prime Factorization of 9918

Prime factors of 9918 are 2, 3, 19, 29. Prime factorization of 9918 in exponential form is:

9918 = 2¹ × 3² × 19¹ × 29¹

Step-3: Factors of 9900

List of positive integer factors of 9900 that divides 9900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950

Step-4: Factors of 9918

List of positive integer factors of 9918 that divides 9900 without a remainder.

1, 2, 3, 6, 9, 18, 19, 29, 38, 57, 58, 87, 114, 171, 174, 261, 342, 522, 551, 1102, 1653, 3306, 4959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9900 and 9918. The biggest common factor number is the GCF number.
So the greatest common factor 9900 and 9918 is 18.

Also check out the Least Common Multiple of 9900 and 9918