What is the Greatest Common Factor of 7909 and 7913?

Greatest common factor (GCF) of 7909 and 7913 is 1.

GCF(7909,7913) = 1

We will now calculate the prime factors of 7909 and 7913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7909 and 7913.

How to find the GCF of 7909 and 7913?

We will first find the prime factorization of 7909 and 7913. After we will calculate the factors of 7909 and 7913 and find the biggest common factor number .

Step-1: Prime Factorization of 7909

Prime factors of 7909 are 11, 719. Prime factorization of 7909 in exponential form is:

7909 = 11¹ × 719¹

Step-2: Prime Factorization of 7913

Prime factors of 7913 are 41, 193. Prime factorization of 7913 in exponential form is:

7913 = 41¹ × 193¹

Step-3: Factors of 7909

List of positive integer factors of 7909 that divides 7909 without a remainder.

1, 11, 719

Step-4: Factors of 7913

List of positive integer factors of 7913 that divides 7909 without a remainder.

1, 41, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7909 and 7913. The biggest common factor number is the GCF number.
So the greatest common factor 7909 and 7913 is 1.

Also check out the Least Common Multiple of 7909 and 7913