What is the Greatest Common Factor of 11200 and 11216?

Greatest common factor (GCF) of 11200 and 11216 is 16.

GCF(11200,11216) = 16

We will now calculate the prime factors of 11200 and 11216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11200 and 11216.

How to find the GCF of 11200 and 11216?

We will first find the prime factorization of 11200 and 11216. After we will calculate the factors of 11200 and 11216 and find the biggest common factor number .

Step-1: Prime Factorization of 11200

Prime factors of 11200 are 2, 5, 7. Prime factorization of 11200 in exponential form is:

11200 = 2⁶ × 5² × 7¹

Step-2: Prime Factorization of 11216

Prime factors of 11216 are 2, 701. Prime factorization of 11216 in exponential form is:

11216 = 2⁴ × 701¹

Step-3: Factors of 11200

List of positive integer factors of 11200 that divides 11200 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 64, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 320, 350, 400, 448, 560, 700, 800, 1120, 1400, 1600, 2240, 2800, 5600

Step-4: Factors of 11216

List of positive integer factors of 11216 that divides 11200 without a remainder.

1, 2, 4, 8, 16, 701, 1402, 2804, 5608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11200 and 11216. The biggest common factor number is the GCF number.
So the greatest common factor 11200 and 11216 is 16.

Also check out the Least Common Multiple of 11200 and 11216