What is the Greatest Common Factor of 9728 and 9742?

Greatest common factor (GCF) of 9728 and 9742 is 2.

GCF(9728,9742) = 2

We will now calculate the prime factors of 9728 and 9742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9728 and 9742.

How to find the GCF of 9728 and 9742?

We will first find the prime factorization of 9728 and 9742. After we will calculate the factors of 9728 and 9742 and find the biggest common factor number .

Step-1: Prime Factorization of 9728

Prime factors of 9728 are 2, 19. Prime factorization of 9728 in exponential form is:

9728 = 2⁹ × 19¹

Step-2: Prime Factorization of 9742

Prime factors of 9742 are 2, 4871. Prime factorization of 9742 in exponential form is:

9742 = 2¹ × 4871¹

Step-3: Factors of 9728

List of positive integer factors of 9728 that divides 9728 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1216, 2432, 4864

Step-4: Factors of 9742

List of positive integer factors of 9742 that divides 9728 without a remainder.

1, 2, 4871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9728 and 9742. The biggest common factor number is the GCF number.
So the greatest common factor 9728 and 9742 is 2.

Also check out the Least Common Multiple of 9728 and 9742