What is the Greatest Common Factor of 99048 and 99052?

Greatest common factor (GCF) of 99048 and 99052 is 4.

GCF(99048,99052) = 4

We will now calculate the prime factors of 99048 and 99052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99048 and 99052.

How to find the GCF of 99048 and 99052?

We will first find the prime factorization of 99048 and 99052. After we will calculate the factors of 99048 and 99052 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99052

Prime factors of 99052 are 2, 24763. Prime factorization of 99052 in exponential form is:

99052 = 2² × 24763¹

Step-3: Factors of 99048

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

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

Step-4: Factors of 99052

List of positive integer factors of 99052 that divides 99048 without a remainder.

1, 2, 4, 24763, 49526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99048 and 99052. The biggest common factor number is the GCF number.
So the greatest common factor 99048 and 99052 is 4.

Also check out the Least Common Multiple of 99048 and 99052