What is the Greatest Common Factor of 11312 and 11328?

Greatest common factor (GCF) of 11312 and 11328 is 16.

GCF(11312,11328) = 16

We will now calculate the prime factors of 11312 and 11328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11312 and 11328.

How to find the GCF of 11312 and 11328?

We will first find the prime factorization of 11312 and 11328. After we will calculate the factors of 11312 and 11328 and find the biggest common factor number .

Step-1: Prime Factorization of 11312

Prime factors of 11312 are 2, 7, 101. Prime factorization of 11312 in exponential form is:

11312 = 2⁴ × 7¹ × 101¹

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 11312

List of positive integer factors of 11312 that divides 11312 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 101, 112, 202, 404, 707, 808, 1414, 1616, 2828, 5656

Step-4: Factors of 11328

List of positive integer factors of 11328 that divides 11312 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 11312 and 11328. The biggest common factor number is the GCF number.
So the greatest common factor 11312 and 11328 is 16.

Also check out the Least Common Multiple of 11312 and 11328