What is the Greatest Common Factor of 99990 and 99999?

Greatest common factor (GCF) of 99990 and 99999 is 9.

GCF(99990,99999) = 9

We will now calculate the prime factors of 99990 and 99999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99990 and 99999.

How to find the GCF of 99990 and 99999?

We will first find the prime factorization of 99990 and 99999. After we will calculate the factors of 99990 and 99999 and find the biggest common factor number .

Step-1: Prime Factorization of 99990

Prime factors of 99990 are 2, 3, 5, 11, 101. Prime factorization of 99990 in exponential form is:

99990 = 2¹ × 3² × 5¹ × 11¹ × 101¹

Step-2: Prime Factorization of 99999

Prime factors of 99999 are 3, 41, 271. Prime factorization of 99999 in exponential form is:

99999 = 3² × 41¹ × 271¹

Step-3: Factors of 99990

List of positive integer factors of 99990 that divides 99990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 101, 110, 165, 198, 202, 303, 330, 495, 505, 606, 909, 990, 1010, 1111, 1515, 1818, 2222, 3030, 3333, 4545, 5555, 6666, 9090, 9999, 11110, 16665, 19998, 33330, 49995

Step-4: Factors of 99999

List of positive integer factors of 99999 that divides 99990 without a remainder.

1, 3, 9, 41, 123, 271, 369, 813, 2439, 11111, 33333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99990 and 99999. The biggest common factor number is the GCF number.
So the greatest common factor 99990 and 99999 is 9.

Also check out the Least Common Multiple of 99990 and 99999