What is the Greatest Common Factor of 99728 and 99744?

Greatest common factor (GCF) of 99728 and 99744 is 16.

GCF(99728,99744) = 16

We will now calculate the prime factors of 99728 and 99744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99728 and 99744.

How to find the GCF of 99728 and 99744?

We will first find the prime factorization of 99728 and 99744. After we will calculate the factors of 99728 and 99744 and find the biggest common factor number .

Step-1: Prime Factorization of 99728

Prime factors of 99728 are 2, 23, 271. Prime factorization of 99728 in exponential form is:

99728 = 2⁴ × 23¹ × 271¹

Step-2: Prime Factorization of 99744

Prime factors of 99744 are 2, 3, 1039. Prime factorization of 99744 in exponential form is:

99744 = 2⁵ × 3¹ × 1039¹

Step-3: Factors of 99728

List of positive integer factors of 99728 that divides 99728 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 271, 368, 542, 1084, 2168, 4336, 6233, 12466, 24932, 49864

Step-4: Factors of 99744

List of positive integer factors of 99744 that divides 99728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1039, 2078, 3117, 4156, 6234, 8312, 12468, 16624, 24936, 33248, 49872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99728 and 99744. The biggest common factor number is the GCF number.
So the greatest common factor 99728 and 99744 is 16.

Also check out the Least Common Multiple of 99728 and 99744