What is the Greatest Common Factor of 11314 and 11328?

Greatest common factor (GCF) of 11314 and 11328 is 2.

GCF(11314,11328) = 2

We will now calculate the prime factors of 11314 and 11328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11314 and 11328.

How to find the GCF of 11314 and 11328?

We will first find the prime factorization of 11314 and 11328. After we will calculate the factors of 11314 and 11328 and find the biggest common factor number .

Step-1: Prime Factorization of 11314

Prime factors of 11314 are 2, 5657. Prime factorization of 11314 in exponential form is:

11314 = 2¹ × 5657¹

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 11314

List of positive integer factors of 11314 that divides 11314 without a remainder.

1, 2, 5657

Step-4: Factors of 11328

List of positive integer factors of 11328 that divides 11314 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 11314 and 11328. The biggest common factor number is the GCF number.
So the greatest common factor 11314 and 11328 is 2.

Also check out the Least Common Multiple of 11314 and 11328