What is the Greatest Common Factor of 99009 and 99015?

Greatest common factor (GCF) of 99009 and 99015 is 3.

GCF(99009,99015) = 3

We will now calculate the prime factors of 99009 and 99015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99009 and 99015.

How to find the GCF of 99009 and 99015?

We will first find the prime factorization of 99009 and 99015. After we will calculate the factors of 99009 and 99015 and find the biggest common factor number .

Step-1: Prime Factorization of 99009

Prime factors of 99009 are 3, 19, 193. Prime factorization of 99009 in exponential form is:

99009 = 3³ × 19¹ × 193¹

Step-2: Prime Factorization of 99015

Prime factors of 99015 are 3, 5, 7, 23, 41. Prime factorization of 99015 in exponential form is:

99015 = 3¹ × 5¹ × 7¹ × 23¹ × 41¹

Step-3: Factors of 99009

List of positive integer factors of 99009 that divides 99009 without a remainder.

1, 3, 9, 19, 27, 57, 171, 193, 513, 579, 1737, 3667, 5211, 11001, 33003

Step-4: Factors of 99015

List of positive integer factors of 99015 that divides 99009 without a remainder.

1, 3, 5, 7, 15, 21, 23, 35, 41, 69, 105, 115, 123, 161, 205, 287, 345, 483, 615, 805, 861, 943, 1435, 2415, 2829, 4305, 4715, 6601, 14145, 19803, 33005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99009 and 99015. The biggest common factor number is the GCF number.
So the greatest common factor 99009 and 99015 is 3.

Also check out the Least Common Multiple of 99009 and 99015