What is the Greatest Common Factor of 11305 and 11310?

Greatest common factor (GCF) of 11305 and 11310 is 5.

GCF(11305,11310) = 5

We will now calculate the prime factors of 11305 and 11310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11305 and 11310.

How to find the GCF of 11305 and 11310?

We will first find the prime factorization of 11305 and 11310. After we will calculate the factors of 11305 and 11310 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 11310

Prime factors of 11310 are 2, 3, 5, 13, 29. Prime factorization of 11310 in exponential form is:

11310 = 2¹ × 3¹ × 5¹ × 13¹ × 29¹

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 11310

List of positive integer factors of 11310 that divides 11305 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 29, 30, 39, 58, 65, 78, 87, 130, 145, 174, 195, 290, 377, 390, 435, 754, 870, 1131, 1885, 2262, 3770, 5655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11305 and 11310. The biggest common factor number is the GCF number.
So the greatest common factor 11305 and 11310 is 5.

Also check out the Least Common Multiple of 11305 and 11310