What is the Greatest Common Factor of 9990 and 10005?

Greatest common factor (GCF) of 9990 and 10005 is 15.

GCF(9990,10005) = 15

We will now calculate the prime factors of 9990 and 10005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9990 and 10005.

How to find the GCF of 9990 and 10005?

We will first find the prime factorization of 9990 and 10005. After we will calculate the factors of 9990 and 10005 and find the biggest common factor number .

Step-1: Prime Factorization of 9990

Prime factors of 9990 are 2, 3, 5, 37. Prime factorization of 9990 in exponential form is:

9990 = 2¹ × 3³ × 5¹ × 37¹

Step-2: Prime Factorization of 10005

Prime factors of 10005 are 3, 5, 23, 29. Prime factorization of 10005 in exponential form is:

10005 = 3¹ × 5¹ × 23¹ × 29¹

Step-3: Factors of 9990

List of positive integer factors of 9990 that divides 9990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995

Step-4: Factors of 10005

List of positive integer factors of 10005 that divides 9990 without a remainder.

1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9990 and 10005. The biggest common factor number is the GCF number.
So the greatest common factor 9990 and 10005 is 15.

Also check out the Least Common Multiple of 9990 and 10005