What is the Greatest Common Factor of 9684 and 9693?

Greatest common factor (GCF) of 9684 and 9693 is 9.

GCF(9684,9693) = 9

We will now calculate the prime factors of 9684 and 9693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9684 and 9693.

How to find the GCF of 9684 and 9693?

We will first find the prime factorization of 9684 and 9693. After we will calculate the factors of 9684 and 9693 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 9693

Prime factors of 9693 are 3, 359. Prime factorization of 9693 in exponential form is:

9693 = 3³ × 359¹

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 9693

List of positive integer factors of 9693 that divides 9684 without a remainder.

1, 3, 9, 27, 359, 1077, 3231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9684 and 9693. The biggest common factor number is the GCF number.
So the greatest common factor 9684 and 9693 is 9.

Also check out the Least Common Multiple of 9684 and 9693