What is the Greatest Common Factor of 9753 and 9768?

Greatest common factor (GCF) of 9753 and 9768 is 3.

GCF(9753,9768) = 3

We will now calculate the prime factors of 9753 and 9768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9753 and 9768.

How to find the GCF of 9753 and 9768?

We will first find the prime factorization of 9753 and 9768. After we will calculate the factors of 9753 and 9768 and find the biggest common factor number .

Step-1: Prime Factorization of 9753

Prime factors of 9753 are 3, 3251. Prime factorization of 9753 in exponential form is:

9753 = 3¹ × 3251¹

Step-2: Prime Factorization of 9768

Prime factors of 9768 are 2, 3, 11, 37. Prime factorization of 9768 in exponential form is:

9768 = 2³ × 3¹ × 11¹ × 37¹

Step-3: Factors of 9753

List of positive integer factors of 9753 that divides 9753 without a remainder.

1, 3, 3251

Step-4: Factors of 9768

List of positive integer factors of 9768 that divides 9753 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 37, 44, 66, 74, 88, 111, 132, 148, 222, 264, 296, 407, 444, 814, 888, 1221, 1628, 2442, 3256, 4884

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9753 and 9768. The biggest common factor number is the GCF number.
So the greatest common factor 9753 and 9768 is 3.

Also check out the Least Common Multiple of 9753 and 9768