What is the Greatest Common Factor of 99039 and 99048?

Greatest common factor (GCF) of 99039 and 99048 is 3.

GCF(99039,99048) = 3

We will now calculate the prime factors of 99039 and 99048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99039 and 99048.

How to find the GCF of 99039 and 99048?

We will first find the prime factorization of 99039 and 99048. After we will calculate the factors of 99039 and 99048 and find the biggest common factor number .

Step-1: Prime Factorization of 99039

Prime factors of 99039 are 3, 33013. Prime factorization of 99039 in exponential form is:

99039 = 3¹ × 33013¹

Step-2: Prime Factorization of 99048

Prime factors of 99048 are 2, 3, 4127. Prime factorization of 99048 in exponential form is:

99048 = 2³ × 3¹ × 4127¹

Step-3: Factors of 99039

List of positive integer factors of 99039 that divides 99039 without a remainder.

1, 3, 33013

Step-4: Factors of 99048

List of positive integer factors of 99048 that divides 99039 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4127, 8254, 12381, 16508, 24762, 33016, 49524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99039 and 99048. The biggest common factor number is the GCF number.
So the greatest common factor 99039 and 99048 is 3.

Also check out the Least Common Multiple of 99039 and 99048