What is the Greatest Common Factor of 99728 and 99736?

Greatest common factor (GCF) of 99728 and 99736 is 8.

GCF(99728,99736) = 8

We will now calculate the prime factors of 99728 and 99736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99728 and 99736.

How to find the GCF of 99728 and 99736?

We will first find the prime factorization of 99728 and 99736. After we will calculate the factors of 99728 and 99736 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 99736

Prime factors of 99736 are 2, 7, 13, 137. Prime factorization of 99736 in exponential form is:

99736 = 2³ × 7¹ × 13¹ × 137¹

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 99736

List of positive integer factors of 99736 that divides 99728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 137, 182, 274, 364, 548, 728, 959, 1096, 1781, 1918, 3562, 3836, 7124, 7672, 12467, 14248, 24934, 49868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99728 and 99736. The biggest common factor number is the GCF number.
So the greatest common factor 99728 and 99736 is 8.

Also check out the Least Common Multiple of 99728 and 99736