What is the Greatest Common Factor of 99024 and 99030?

Greatest common factor (GCF) of 99024 and 99030 is 6.

GCF(99024,99030) = 6

We will now calculate the prime factors of 99024 and 99030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99024 and 99030.

How to find the GCF of 99024 and 99030?

We will first find the prime factorization of 99024 and 99030. After we will calculate the factors of 99024 and 99030 and find the biggest common factor number .

Step-1: Prime Factorization of 99024

Prime factors of 99024 are 2, 3, 2063. Prime factorization of 99024 in exponential form is:

99024 = 2⁴ × 3¹ × 2063¹

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 99024

List of positive integer factors of 99024 that divides 99024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 2063, 4126, 6189, 8252, 12378, 16504, 24756, 33008, 49512

Step-4: Factors of 99030

List of positive integer factors of 99030 that divides 99024 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 99024 and 99030. The biggest common factor number is the GCF number.
So the greatest common factor 99024 and 99030 is 6.

Also check out the Least Common Multiple of 99024 and 99030