What is the Greatest Common Factor of 11328 and 11334?

Greatest common factor (GCF) of 11328 and 11334 is 6.

GCF(11328,11334) = 6

We will now calculate the prime factors of 11328 and 11334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11328 and 11334.

How to find the GCF of 11328 and 11334?

We will first find the prime factorization of 11328 and 11334. After we will calculate the factors of 11328 and 11334 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 11334

Prime factors of 11334 are 2, 3, 1889. Prime factorization of 11334 in exponential form is:

11334 = 2¹ × 3¹ × 1889¹

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 11334

List of positive integer factors of 11334 that divides 11328 without a remainder.

1, 2, 3, 6, 1889, 3778, 5667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11328 and 11334. The biggest common factor number is the GCF number.
So the greatest common factor 11328 and 11334 is 6.

Also check out the Least Common Multiple of 11328 and 11334