What is the Greatest Common Factor of 9680 and 9684?

Greatest common factor (GCF) of 9680 and 9684 is 4.

GCF(9680,9684) = 4

We will now calculate the prime factors of 9680 and 9684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9680 and 9684.

How to find the GCF of 9680 and 9684?

We will first find the prime factorization of 9680 and 9684. After we will calculate the factors of 9680 and 9684 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9684

Prime factors of 9684 are 2, 3, 269. Prime factorization of 9684 in exponential form is:

9684 = 2² × 3² × 269¹

Step-3: Factors of 9680

List of positive integer factors of 9680 that divides 9680 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

Step-4: Factors of 9684

List of positive integer factors of 9684 that divides 9680 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228, 4842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9680 and 9684. The biggest common factor number is the GCF number.
So the greatest common factor 9680 and 9684 is 4.

Also check out the Least Common Multiple of 9680 and 9684