What is the Greatest Common Factor of 7744 and 7763?

Greatest common factor (GCF) of 7744 and 7763 is 1.

GCF(7744,7763) = 1

We will now calculate the prime factors of 7744 and 7763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7744 and 7763.

How to find the GCF of 7744 and 7763?

We will first find the prime factorization of 7744 and 7763. After we will calculate the factors of 7744 and 7763 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 7763

Prime factors of 7763 are 7, 1109. Prime factorization of 7763 in exponential form is:

7763 = 7¹ × 1109¹

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 7763

List of positive integer factors of 7763 that divides 7744 without a remainder.

1, 7, 1109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7744 and 7763. The biggest common factor number is the GCF number.
So the greatest common factor 7744 and 7763 is 1.

Also check out the Least Common Multiple of 7744 and 7763