What is the Greatest Common Factor of 11328 and 11344?

Greatest common factor (GCF) of 11328 and 11344 is 16.

GCF(11328,11344) = 16

We will now calculate the prime factors of 11328 and 11344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11328 and 11344.

How to find the GCF of 11328 and 11344?

We will first find the prime factorization of 11328 and 11344. After we will calculate the factors of 11328 and 11344 and find the biggest common factor number .

Step-1: Prime Factorization of 11328

Prime factors of 11328 are 2, 3, 59. Prime factorization of 11328 in exponential form is:

11328 = 2⁶ × 3¹ × 59¹

Step-2: Prime Factorization of 11344

Prime factors of 11344 are 2, 709. Prime factorization of 11344 in exponential form is:

11344 = 2⁴ × 709¹

Step-3: Factors of 11328

List of positive integer factors of 11328 that divides 11328 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 64, 96, 118, 177, 192, 236, 354, 472, 708, 944, 1416, 1888, 2832, 3776, 5664

Step-4: Factors of 11344

List of positive integer factors of 11344 that divides 11328 without a remainder.

1, 2, 4, 8, 16, 709, 1418, 2836, 5672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11328 and 11344. The biggest common factor number is the GCF number.
So the greatest common factor 11328 and 11344 is 16.

Also check out the Least Common Multiple of 11328 and 11344