What is the Greatest Common Factor of 99728 and 99734?

Greatest common factor (GCF) of 99728 and 99734 is 2.

GCF(99728,99734) = 2

We will now calculate the prime factors of 99728 and 99734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99728 and 99734.

How to find the GCF of 99728 and 99734?

We will first find the prime factorization of 99728 and 99734. After we will calculate the factors of 99728 and 99734 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 99734

Prime factors of 99734 are 2, 47, 1061. Prime factorization of 99734 in exponential form is:

99734 = 2¹ × 47¹ × 1061¹

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 99734

List of positive integer factors of 99734 that divides 99728 without a remainder.

1, 2, 47, 94, 1061, 2122, 49867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99728 and 99734. The biggest common factor number is the GCF number.
So the greatest common factor 99728 and 99734 is 2.

Also check out the Least Common Multiple of 99728 and 99734