What is the Greatest Common Factor of 7744 and 7751?

Greatest common factor (GCF) of 7744 and 7751 is 1.

GCF(7744,7751) = 1

We will now calculate the prime factors of 7744 and 7751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7744 and 7751.

How to find the GCF of 7744 and 7751?

We will first find the prime factorization of 7744 and 7751. After we will calculate the factors of 7744 and 7751 and find the biggest common factor number .

Step-1: Prime Factorization of 7744

Prime factors of 7744 are 2, 11. Prime factorization of 7744 in exponential form is:

7744 = 2⁶ × 11²

Step-2: Prime Factorization of 7751

Prime factors of 7751 are 23, 337. Prime factorization of 7751 in exponential form is:

7751 = 23¹ × 337¹

Step-3: Factors of 7744

List of positive integer factors of 7744 that divides 7744 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872

Step-4: Factors of 7751

List of positive integer factors of 7751 that divides 7744 without a remainder.

1, 23, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7744 and 7751. The biggest common factor number is the GCF number.
So the greatest common factor 7744 and 7751 is 1.

Also check out the Least Common Multiple of 7744 and 7751