What is the Greatest Common Factor of 11264 and 11272?

Greatest common factor (GCF) of 11264 and 11272 is 8.

GCF(11264,11272) = 8

We will now calculate the prime factors of 11264 and 11272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11264 and 11272.

How to find the GCF of 11264 and 11272?

We will first find the prime factorization of 11264 and 11272. After we will calculate the factors of 11264 and 11272 and find the biggest common factor number .

Step-1: Prime Factorization of 11264

Prime factors of 11264 are 2, 11. Prime factorization of 11264 in exponential form is:

11264 = 2¹⁰ × 11¹

Step-2: Prime Factorization of 11272

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

11272 = 2³ × 1409¹

Step-3: Factors of 11264

List of positive integer factors of 11264 that divides 11264 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1024, 1408, 2816, 5632

Step-4: Factors of 11272

List of positive integer factors of 11272 that divides 11264 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11264 and 11272. The biggest common factor number is the GCF number.
So the greatest common factor 11264 and 11272 is 8.

Also check out the Least Common Multiple of 11264 and 11272