What is the Greatest Common Factor of 99009 and 99028?

Greatest common factor (GCF) of 99009 and 99028 is 19.

GCF(99009,99028) = 19

We will now calculate the prime factors of 99009 and 99028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99009 and 99028.

How to find the GCF of 99009 and 99028?

We will first find the prime factorization of 99009 and 99028. After we will calculate the factors of 99009 and 99028 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 99028

Prime factors of 99028 are 2, 19, 1303. Prime factorization of 99028 in exponential form is:

99028 = 2² × 19¹ × 1303¹

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 99028

List of positive integer factors of 99028 that divides 99009 without a remainder.

1, 2, 4, 19, 38, 76, 1303, 2606, 5212, 24757, 49514

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99009 and 99028. The biggest common factor number is the GCF number.
So the greatest common factor 99009 and 99028 is 19.

Also check out the Least Common Multiple of 99009 and 99028