What is the Greatest Common Factor of 99012 and 99030?

Greatest common factor (GCF) of 99012 and 99030 is 6.

GCF(99012,99030) = 6

We will now calculate the prime factors of 99012 and 99030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99012 and 99030.

How to find the GCF of 99012 and 99030?

We will first find the prime factorization of 99012 and 99030. After we will calculate the factors of 99012 and 99030 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 99030

Prime factors of 99030 are 2, 3, 5, 3301. Prime factorization of 99030 in exponential form is:

99030 = 2¹ × 3¹ × 5¹ × 3301¹

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 99030

List of positive integer factors of 99030 that divides 99012 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3301, 6602, 9903, 16505, 19806, 33010, 49515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99012 and 99030. The biggest common factor number is the GCF number.
So the greatest common factor 99012 and 99030 is 6.

Also check out the Least Common Multiple of 99012 and 99030