What is the Greatest Common Factor of 9666 and 9684?

Greatest common factor (GCF) of 9666 and 9684 is 18.

GCF(9666,9684) = 18

We will now calculate the prime factors of 9666 and 9684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9666 and 9684.

How to find the GCF of 9666 and 9684?

We will first find the prime factorization of 9666 and 9684. After we will calculate the factors of 9666 and 9684 and find the biggest common factor number .

Step-1: Prime Factorization of 9666

Prime factors of 9666 are 2, 3, 179. Prime factorization of 9666 in exponential form is:

9666 = 2¹ × 3³ × 179¹

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 9666

List of positive integer factors of 9666 that divides 9666 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833

Step-4: Factors of 9684

List of positive integer factors of 9684 that divides 9666 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 9666 and 9684. The biggest common factor number is the GCF number.
So the greatest common factor 9666 and 9684 is 18.

Also check out the Least Common Multiple of 9666 and 9684