What is the Greatest Common Factor of 11259 and 11264?

Greatest common factor (GCF) of 11259 and 11264 is 1.

GCF(11259,11264) = 1

We will now calculate the prime factors of 11259 and 11264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11259 and 11264.

How to find the GCF of 11259 and 11264?

We will first find the prime factorization of 11259 and 11264. After we will calculate the factors of 11259 and 11264 and find the biggest common factor number .

Step-1: Prime Factorization of 11259

Prime factors of 11259 are 3, 139. Prime factorization of 11259 in exponential form is:

11259 = 3⁴ × 139¹

Step-2: Prime Factorization of 11264

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

11264 = 2¹⁰ × 11¹

Step-3: Factors of 11259

List of positive integer factors of 11259 that divides 11259 without a remainder.

1, 3, 9, 27, 81, 139, 417, 1251, 3753

Step-4: Factors of 11264

List of positive integer factors of 11264 that divides 11259 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11259 and 11264. The biggest common factor number is the GCF number.
So the greatest common factor 11259 and 11264 is 1.

Also check out the Least Common Multiple of 11259 and 11264