What is the Greatest Common Factor of 99024 and 99044?

Greatest common factor (GCF) of 99024 and 99044 is 4.

GCF(99024,99044) = 4

We will now calculate the prime factors of 99024 and 99044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99024 and 99044.

How to find the GCF of 99024 and 99044?

We will first find the prime factorization of 99024 and 99044. After we will calculate the factors of 99024 and 99044 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 99044

Prime factors of 99044 are 2, 11, 2251. Prime factorization of 99044 in exponential form is:

99044 = 2² × 11¹ × 2251¹

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 99044

List of positive integer factors of 99044 that divides 99024 without a remainder.

1, 2, 4, 11, 22, 44, 2251, 4502, 9004, 24761, 49522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99024 and 99044. The biggest common factor number is the GCF number.
So the greatest common factor 99024 and 99044 is 4.

Also check out the Least Common Multiple of 99024 and 99044