What is the Greatest Common Factor of 11254 and 11264?

Greatest common factor (GCF) of 11254 and 11264 is 2.

GCF(11254,11264) = 2

We will now calculate the prime factors of 11254 and 11264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11254 and 11264.

How to find the GCF of 11254 and 11264?

We will first find the prime factorization of 11254 and 11264. After we will calculate the factors of 11254 and 11264 and find the biggest common factor number .

Step-1: Prime Factorization of 11254

Prime factors of 11254 are 2, 17, 331. Prime factorization of 11254 in exponential form is:

11254 = 2¹ × 17¹ × 331¹

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 11254

List of positive integer factors of 11254 that divides 11254 without a remainder.

1, 2, 17, 34, 331, 662, 5627

Step-4: Factors of 11264

List of positive integer factors of 11264 that divides 11254 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 11254 and 11264. The biggest common factor number is the GCF number.
So the greatest common factor 11254 and 11264 is 2.

Also check out the Least Common Multiple of 11254 and 11264