What is the Greatest Common Factor of 99712 and 99728?

Greatest common factor (GCF) of 99712 and 99728 is 16.

GCF(99712,99728) = 16

We will now calculate the prime factors of 99712 and 99728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99712 and 99728.

How to find the GCF of 99712 and 99728?

We will first find the prime factorization of 99712 and 99728. After we will calculate the factors of 99712 and 99728 and find the biggest common factor number .

Step-1: Prime Factorization of 99712

Prime factors of 99712 are 2, 19, 41. Prime factorization of 99712 in exponential form is:

99712 = 2⁷ × 19¹ × 41¹

Step-2: 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-3: Factors of 99712

List of positive integer factors of 99712 that divides 99712 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 41, 64, 76, 82, 128, 152, 164, 304, 328, 608, 656, 779, 1216, 1312, 1558, 2432, 2624, 3116, 5248, 6232, 12464, 24928, 49856

Step-4: Factors of 99728

List of positive integer factors of 99728 that divides 99712 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99712 and 99728. The biggest common factor number is the GCF number.
So the greatest common factor 99712 and 99728 is 16.

Also check out the Least Common Multiple of 99712 and 99728