What is the Greatest Common Factor of 11296 and 11312?

Greatest common factor (GCF) of 11296 and 11312 is 16.

GCF(11296,11312) = 16

We will now calculate the prime factors of 11296 and 11312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11296 and 11312.

How to find the GCF of 11296 and 11312?

We will first find the prime factorization of 11296 and 11312. After we will calculate the factors of 11296 and 11312 and find the biggest common factor number .

Step-1: Prime Factorization of 11296

Prime factors of 11296 are 2, 353. Prime factorization of 11296 in exponential form is:

11296 = 2⁵ × 353¹

Step-2: 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-3: Factors of 11296

List of positive integer factors of 11296 that divides 11296 without a remainder.

1, 2, 4, 8, 16, 32, 353, 706, 1412, 2824, 5648

Step-4: Factors of 11312

List of positive integer factors of 11312 that divides 11296 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11296 and 11312. The biggest common factor number is the GCF number.
So the greatest common factor 11296 and 11312 is 16.

Also check out the Least Common Multiple of 11296 and 11312