What is the Greatest Common Factor of 99012 and 99027?

Greatest common factor (GCF) of 99012 and 99027 is 3.

GCF(99012,99027) = 3

We will now calculate the prime factors of 99012 and 99027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99012 and 99027.

How to find the GCF of 99012 and 99027?

We will first find the prime factorization of 99012 and 99027. After we will calculate the factors of 99012 and 99027 and find the biggest common factor number .

Step-1: Prime Factorization of 99012

Prime factors of 99012 are 2, 3, 37, 223. Prime factorization of 99012 in exponential form is:

99012 = 2² × 3¹ × 37¹ × 223¹

Step-2: Prime Factorization of 99027

Prime factors of 99027 are 3, 11003. Prime factorization of 99027 in exponential form is:

99027 = 3² × 11003¹

Step-3: Factors of 99012

List of positive integer factors of 99012 that divides 99012 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 223, 444, 446, 669, 892, 1338, 2676, 8251, 16502, 24753, 33004, 49506

Step-4: Factors of 99027

List of positive integer factors of 99027 that divides 99012 without a remainder.

1, 3, 9, 11003, 33009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99012 and 99027. The biggest common factor number is the GCF number.
So the greatest common factor 99012 and 99027 is 3.

Also check out the Least Common Multiple of 99012 and 99027