What is the Greatest Common Factor of 7771 and 7790?

Greatest common factor (GCF) of 7771 and 7790 is 19.

GCF(7771,7790) = 19

We will now calculate the prime factors of 7771 and 7790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7771 and 7790.

How to find the GCF of 7771 and 7790?

We will first find the prime factorization of 7771 and 7790. After we will calculate the factors of 7771 and 7790 and find the biggest common factor number .

Step-1: Prime Factorization of 7771

Prime factors of 7771 are 19, 409. Prime factorization of 7771 in exponential form is:

7771 = 19¹ × 409¹

Step-2: Prime Factorization of 7790

Prime factors of 7790 are 2, 5, 19, 41. Prime factorization of 7790 in exponential form is:

7790 = 2¹ × 5¹ × 19¹ × 41¹

Step-3: Factors of 7771

List of positive integer factors of 7771 that divides 7771 without a remainder.

1, 19, 409

Step-4: Factors of 7790

List of positive integer factors of 7790 that divides 7771 without a remainder.

1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7771 and 7790. The biggest common factor number is the GCF number.
So the greatest common factor 7771 and 7790 is 19.

Also check out the Least Common Multiple of 7771 and 7790