What is the Greatest Common Factor of 11264 and 11279?

Greatest common factor (GCF) of 11264 and 11279 is 1.

GCF(11264,11279) = 1

We will now calculate the prime factors of 11264 and 11279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11264 and 11279.

How to find the GCF of 11264 and 11279?

We will first find the prime factorization of 11264 and 11279. After we will calculate the factors of 11264 and 11279 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 11279

Prime factors of 11279 are 11279. Prime factorization of 11279 in exponential form is:

11279 = 11279¹

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 11279

List of positive integer factors of 11279 that divides 11264 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11264 and 11279. The biggest common factor number is the GCF number.
So the greatest common factor 11264 and 11279 is 1.

Also check out the Least Common Multiple of 11264 and 11279