What is the Greatest Common Factor of 11275 and 11286?

Greatest common factor (GCF) of 11275 and 11286 is 11.

GCF(11275,11286) = 11

We will now calculate the prime factors of 11275 and 11286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11275 and 11286.

How to find the GCF of 11275 and 11286?

We will first find the prime factorization of 11275 and 11286. After we will calculate the factors of 11275 and 11286 and find the biggest common factor number .

Step-1: Prime Factorization of 11275

Prime factors of 11275 are 5, 11, 41. Prime factorization of 11275 in exponential form is:

11275 = 5² × 11¹ × 41¹

Step-2: Prime Factorization of 11286

Prime factors of 11286 are 2, 3, 11, 19. Prime factorization of 11286 in exponential form is:

11286 = 2¹ × 3³ × 11¹ × 19¹

Step-3: Factors of 11275

List of positive integer factors of 11275 that divides 11275 without a remainder.

1, 5, 11, 25, 41, 55, 205, 275, 451, 1025, 2255

Step-4: Factors of 11286

List of positive integer factors of 11286 that divides 11275 without a remainder.

1, 2, 3, 6, 9, 11, 18, 19, 22, 27, 33, 38, 54, 57, 66, 99, 114, 171, 198, 209, 297, 342, 418, 513, 594, 627, 1026, 1254, 1881, 3762, 5643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11275 and 11286. The biggest common factor number is the GCF number.
So the greatest common factor 11275 and 11286 is 11.

Also check out the Least Common Multiple of 11275 and 11286