What is the Greatest Common Factor of 11319 and 11328?

Greatest common factor (GCF) of 11319 and 11328 is 3.

GCF(11319,11328) = 3

We will now calculate the prime factors of 11319 and 11328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11319 and 11328.

How to find the GCF of 11319 and 11328?

We will first find the prime factorization of 11319 and 11328. After we will calculate the factors of 11319 and 11328 and find the biggest common factor number .

Step-1: Prime Factorization of 11319

Prime factors of 11319 are 3, 7, 11. Prime factorization of 11319 in exponential form is:

11319 = 3¹ × 7³ × 11¹

Step-2: 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-3: Factors of 11319

List of positive integer factors of 11319 that divides 11319 without a remainder.

1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 343, 539, 1029, 1617, 3773

Step-4: Factors of 11328

List of positive integer factors of 11328 that divides 11319 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11319 and 11328. The biggest common factor number is the GCF number.
So the greatest common factor 11319 and 11328 is 3.

Also check out the Least Common Multiple of 11319 and 11328