What is the Greatest Common Factor of 7790 and 7809?

Greatest common factor (GCF) of 7790 and 7809 is 19.

GCF(7790,7809) = 19

We will now calculate the prime factors of 7790 and 7809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7790 and 7809.

How to find the GCF of 7790 and 7809?

We will first find the prime factorization of 7790 and 7809. After we will calculate the factors of 7790 and 7809 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7809

Prime factors of 7809 are 3, 19, 137. Prime factorization of 7809 in exponential form is:

7809 = 3¹ × 19¹ × 137¹

Step-3: Factors of 7790

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

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

Step-4: Factors of 7809

List of positive integer factors of 7809 that divides 7790 without a remainder.

1, 3, 19, 57, 137, 411, 2603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7790 and 7809. The biggest common factor number is the GCF number.
So the greatest common factor 7790 and 7809 is 19.

Also check out the Least Common Multiple of 7790 and 7809