What is the Greatest Common Factor of 9684 and 9696?

Greatest common factor (GCF) of 9684 and 9696 is 12.

GCF(9684,9696) = 12

We will now calculate the prime factors of 9684 and 9696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9684 and 9696.

How to find the GCF of 9684 and 9696?

We will first find the prime factorization of 9684 and 9696. After we will calculate the factors of 9684 and 9696 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9696

Prime factors of 9696 are 2, 3, 101. Prime factorization of 9696 in exponential form is:

9696 = 2⁵ × 3¹ × 101¹

Step-3: Factors of 9684

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

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

Step-4: Factors of 9696

List of positive integer factors of 9696 that divides 9684 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 3232, 4848

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9684 and 9696. The biggest common factor number is the GCF number.
So the greatest common factor 9684 and 9696 is 12.

Also check out the Least Common Multiple of 9684 and 9696