What is the Greatest Common Factor of 9748 and 9764?

Greatest common factor (GCF) of 9748 and 9764 is 4.

GCF(9748,9764) = 4

We will now calculate the prime factors of 9748 and 9764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9748 and 9764.

How to find the GCF of 9748 and 9764?

We will first find the prime factorization of 9748 and 9764. After we will calculate the factors of 9748 and 9764 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 9764

Prime factors of 9764 are 2, 2441. Prime factorization of 9764 in exponential form is:

9764 = 2² × 2441¹

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 9764

List of positive integer factors of 9764 that divides 9748 without a remainder.

1, 2, 4, 2441, 4882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9748 and 9764. The biggest common factor number is the GCF number.
So the greatest common factor 9748 and 9764 is 4.

Also check out the Least Common Multiple of 9748 and 9764