What is the Greatest Common Factor of 11272 and 11286?

Greatest common factor (GCF) of 11272 and 11286 is 2.

GCF(11272,11286) = 2

We will now calculate the prime factors of 11272 and 11286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11272 and 11286.

How to find the GCF of 11272 and 11286?

We will first find the prime factorization of 11272 and 11286. After we will calculate the factors of 11272 and 11286 and find the biggest common factor number .

Step-1: Prime Factorization of 11272

Prime factors of 11272 are 2, 1409. Prime factorization of 11272 in exponential form is:

11272 = 2³ × 1409¹

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 11272

List of positive integer factors of 11272 that divides 11272 without a remainder.

1, 2, 4, 8, 1409, 2818, 5636

Step-4: Factors of 11286

List of positive integer factors of 11286 that divides 11272 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 11272 and 11286. The biggest common factor number is the GCF number.
So the greatest common factor 11272 and 11286 is 2.

Also check out the Least Common Multiple of 11272 and 11286