What is the Greatest Common Factor of 9748 and 9768?

Greatest common factor (GCF) of 9748 and 9768 is 4.

GCF(9748,9768) = 4

We will now calculate the prime factors of 9748 and 9768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9748 and 9768.

How to find the GCF of 9748 and 9768?

We will first find the prime factorization of 9748 and 9768. After we will calculate the factors of 9748 and 9768 and find the biggest common factor number .

Step-1: Prime Factorization of 9748

Prime factors of 9748 are 2, 2437. Prime factorization of 9748 in exponential form is:

9748 = 2² × 2437¹

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 9748

List of positive integer factors of 9748 that divides 9748 without a remainder.

1, 2, 4, 2437, 4874

Step-4: Factors of 9768

List of positive integer factors of 9768 that divides 9748 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 9748 and 9768. The biggest common factor number is the GCF number.
So the greatest common factor 9748 and 9768 is 4.

Also check out the Least Common Multiple of 9748 and 9768