What is the Greatest Common Factor of 11104 and 11120?

Greatest common factor (GCF) of 11104 and 11120 is 16.

GCF(11104,11120) = 16

We will now calculate the prime factors of 11104 and 11120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11104 and 11120.

How to find the GCF of 11104 and 11120?

We will first find the prime factorization of 11104 and 11120. After we will calculate the factors of 11104 and 11120 and find the biggest common factor number .

Step-1: Prime Factorization of 11104

Prime factors of 11104 are 2, 347. Prime factorization of 11104 in exponential form is:

11104 = 2⁵ × 347¹

Step-2: Prime Factorization of 11120

Prime factors of 11120 are 2, 5, 139. Prime factorization of 11120 in exponential form is:

11120 = 2⁴ × 5¹ × 139¹

Step-3: Factors of 11104

List of positive integer factors of 11104 that divides 11104 without a remainder.

1, 2, 4, 8, 16, 32, 347, 694, 1388, 2776, 5552

Step-4: Factors of 11120

List of positive integer factors of 11120 that divides 11104 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 139, 278, 556, 695, 1112, 1390, 2224, 2780, 5560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11104 and 11120. The biggest common factor number is the GCF number.
So the greatest common factor 11104 and 11120 is 16.

Also check out the Least Common Multiple of 11104 and 11120