What is the Greatest Common Factor of 7898 and 7909?

Greatest common factor (GCF) of 7898 and 7909 is 11.

GCF(7898,7909) = 11

We will now calculate the prime factors of 7898 and 7909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7898 and 7909.

How to find the GCF of 7898 and 7909?

We will first find the prime factorization of 7898 and 7909. After we will calculate the factors of 7898 and 7909 and find the biggest common factor number .

Step-1: Prime Factorization of 7898

Prime factors of 7898 are 2, 11, 359. Prime factorization of 7898 in exponential form is:

7898 = 2¹ × 11¹ × 359¹

Step-2: Prime Factorization of 7909

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

7909 = 11¹ × 719¹

Step-3: Factors of 7898

List of positive integer factors of 7898 that divides 7898 without a remainder.

1, 2, 11, 22, 359, 718, 3949

Step-4: Factors of 7909

List of positive integer factors of 7909 that divides 7898 without a remainder.

1, 11, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7898 and 7909. The biggest common factor number is the GCF number.
So the greatest common factor 7898 and 7909 is 11.

Also check out the Least Common Multiple of 7898 and 7909