What is the Greatest Common Factor of 11305 and 11324?

Greatest common factor (GCF) of 11305 and 11324 is 19.

GCF(11305,11324) = 19

We will now calculate the prime factors of 11305 and 11324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11305 and 11324.

How to find the GCF of 11305 and 11324?

We will first find the prime factorization of 11305 and 11324. After we will calculate the factors of 11305 and 11324 and find the biggest common factor number .

Step-1: Prime Factorization of 11305

Prime factors of 11305 are 5, 7, 17, 19. Prime factorization of 11305 in exponential form is:

11305 = 5¹ × 7¹ × 17¹ × 19¹

Step-2: Prime Factorization of 11324

Prime factors of 11324 are 2, 19, 149. Prime factorization of 11324 in exponential form is:

11324 = 2² × 19¹ × 149¹

Step-3: Factors of 11305

List of positive integer factors of 11305 that divides 11305 without a remainder.

1, 5, 7, 17, 19, 35, 85, 95, 119, 133, 323, 595, 665, 1615, 2261

Step-4: Factors of 11324

List of positive integer factors of 11324 that divides 11305 without a remainder.

1, 2, 4, 19, 38, 76, 149, 298, 596, 2831, 5662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11305 and 11324. The biggest common factor number is the GCF number.
So the greatest common factor 11305 and 11324 is 19.

Also check out the Least Common Multiple of 11305 and 11324