What is the Greatest Common Factor of 7744 and 7761?

Greatest common factor (GCF) of 7744 and 7761 is 1.

GCF(7744,7761) = 1

We will now calculate the prime factors of 7744 and 7761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7744 and 7761.

How to find the GCF of 7744 and 7761?

We will first find the prime factorization of 7744 and 7761. After we will calculate the factors of 7744 and 7761 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 7761

Prime factors of 7761 are 3, 13, 199. Prime factorization of 7761 in exponential form is:

7761 = 3¹ × 13¹ × 199¹

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 7761

List of positive integer factors of 7761 that divides 7744 without a remainder.

1, 3, 13, 39, 199, 597, 2587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7744 and 7761. The biggest common factor number is the GCF number.
So the greatest common factor 7744 and 7761 is 1.

Also check out the Least Common Multiple of 7744 and 7761