What is the Greatest Common Factor of 7744 and 7755?

Greatest common factor (GCF) of 7744 and 7755 is 11.

GCF(7744,7755) = 11

We will now calculate the prime factors of 7744 and 7755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7744 and 7755.

How to find the GCF of 7744 and 7755?

We will first find the prime factorization of 7744 and 7755. After we will calculate the factors of 7744 and 7755 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 7755

Prime factors of 7755 are 3, 5, 11, 47. Prime factorization of 7755 in exponential form is:

7755 = 3¹ × 5¹ × 11¹ × 47¹

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 7755

List of positive integer factors of 7755 that divides 7744 without a remainder.

1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7744 and 7755. The biggest common factor number is the GCF number.
So the greatest common factor 7744 and 7755 is 11.

Also check out the Least Common Multiple of 7744 and 7755