What is the Greatest Common Factor of 11328 and 11348?

Greatest common factor (GCF) of 11328 and 11348 is 4.

GCF(11328,11348) = 4

We will now calculate the prime factors of 11328 and 11348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11328 and 11348.

How to find the GCF of 11328 and 11348?

We will first find the prime factorization of 11328 and 11348. After we will calculate the factors of 11328 and 11348 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 11348

Prime factors of 11348 are 2, 2837. Prime factorization of 11348 in exponential form is:

11348 = 2² × 2837¹

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 11348

List of positive integer factors of 11348 that divides 11328 without a remainder.

1, 2, 4, 2837, 5674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11328 and 11348. The biggest common factor number is the GCF number.
So the greatest common factor 11328 and 11348 is 4.

Also check out the Least Common Multiple of 11328 and 11348