What is the Greatest Common Factor of 9664 and 9680?

Greatest common factor (GCF) of 9664 and 9680 is 16.

GCF(9664,9680) = 16

We will now calculate the prime factors of 9664 and 9680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9664 and 9680.

How to find the GCF of 9664 and 9680?

We will first find the prime factorization of 9664 and 9680. After we will calculate the factors of 9664 and 9680 and find the biggest common factor number .

Step-1: Prime Factorization of 9664

Prime factors of 9664 are 2, 151. Prime factorization of 9664 in exponential form is:

9664 = 2⁶ × 151¹

Step-2: Prime Factorization of 9680

Prime factors of 9680 are 2, 5, 11. Prime factorization of 9680 in exponential form is:

9680 = 2⁴ × 5¹ × 11²

Step-3: Factors of 9664

List of positive integer factors of 9664 that divides 9664 without a remainder.

1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832

Step-4: Factors of 9680

List of positive integer factors of 9680 that divides 9664 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9664 and 9680. The biggest common factor number is the GCF number.
So the greatest common factor 9664 and 9680 is 16.

Also check out the Least Common Multiple of 9664 and 9680