What is the Greatest Common Factor of 11328 and 11346?

Greatest common factor (GCF) of 11328 and 11346 is 6.

GCF(11328,11346) = 6

We will now calculate the prime factors of 11328 and 11346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11328 and 11346.

How to find the GCF of 11328 and 11346?

We will first find the prime factorization of 11328 and 11346. After we will calculate the factors of 11328 and 11346 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 11346

Prime factors of 11346 are 2, 3, 31, 61. Prime factorization of 11346 in exponential form is:

11346 = 2¹ × 3¹ × 31¹ × 61¹

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 11346

List of positive integer factors of 11346 that divides 11328 without a remainder.

1, 2, 3, 6, 31, 61, 62, 93, 122, 183, 186, 366, 1891, 3782, 5673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11328 and 11346. The biggest common factor number is the GCF number.
So the greatest common factor 11328 and 11346 is 6.

Also check out the Least Common Multiple of 11328 and 11346