What is the Greatest Common Factor of 9751 and 9758?

Greatest common factor (GCF) of 9751 and 9758 is 7.

GCF(9751,9758) = 7

We will now calculate the prime factors of 9751 and 9758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9751 and 9758.

How to find the GCF of 9751 and 9758?

We will first find the prime factorization of 9751 and 9758. After we will calculate the factors of 9751 and 9758 and find the biggest common factor number .

Step-1: Prime Factorization of 9751

Prime factors of 9751 are 7, 199. Prime factorization of 9751 in exponential form is:

9751 = 7² × 199¹

Step-2: Prime Factorization of 9758

Prime factors of 9758 are 2, 7, 17, 41. Prime factorization of 9758 in exponential form is:

9758 = 2¹ × 7¹ × 17¹ × 41¹

Step-3: Factors of 9751

List of positive integer factors of 9751 that divides 9751 without a remainder.

1, 7, 49, 199, 1393

Step-4: Factors of 9758

List of positive integer factors of 9758 that divides 9751 without a remainder.

1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9751 and 9758. The biggest common factor number is the GCF number.
So the greatest common factor 9751 and 9758 is 7.

Also check out the Least Common Multiple of 9751 and 9758