What is the Greatest Common Factor of 97728 and 97744?

Greatest common factor (GCF) of 97728 and 97744 is 16.

GCF(97728,97744) = 16

We will now calculate the prime factors of 97728 and 97744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97728 and 97744.

How to find the GCF of 97728 and 97744?

We will first find the prime factorization of 97728 and 97744. After we will calculate the factors of 97728 and 97744 and find the biggest common factor number .

Step-1: Prime Factorization of 97728

Prime factors of 97728 are 2, 3, 509. Prime factorization of 97728 in exponential form is:

97728 = 2⁶ × 3¹ × 509¹

Step-2: Prime Factorization of 97744

Prime factors of 97744 are 2, 41, 149. Prime factorization of 97744 in exponential form is:

97744 = 2⁴ × 41¹ × 149¹

Step-3: Factors of 97728

List of positive integer factors of 97728 that divides 97728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 509, 1018, 1527, 2036, 3054, 4072, 6108, 8144, 12216, 16288, 24432, 32576, 48864

Step-4: Factors of 97744

List of positive integer factors of 97744 that divides 97728 without a remainder.

1, 2, 4, 8, 16, 41, 82, 149, 164, 298, 328, 596, 656, 1192, 2384, 6109, 12218, 24436, 48872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97728 and 97744. The biggest common factor number is the GCF number.
So the greatest common factor 97728 and 97744 is 16.

Also check out the Least Common Multiple of 97728 and 97744