What is the Greatest Common Factor of 11193 and 11200?

Greatest common factor (GCF) of 11193 and 11200 is 7.

GCF(11193,11200) = 7

We will now calculate the prime factors of 11193 and 11200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11193 and 11200.

How to find the GCF of 11193 and 11200?

We will first find the prime factorization of 11193 and 11200. After we will calculate the factors of 11193 and 11200 and find the biggest common factor number .

Step-1: Prime Factorization of 11193

Prime factors of 11193 are 3, 7, 13, 41. Prime factorization of 11193 in exponential form is:

11193 = 3¹ × 7¹ × 13¹ × 41¹

Step-2: 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-3: Factors of 11193

List of positive integer factors of 11193 that divides 11193 without a remainder.

1, 3, 7, 13, 21, 39, 41, 91, 123, 273, 287, 533, 861, 1599, 3731

Step-4: Factors of 11200

List of positive integer factors of 11200 that divides 11193 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11193 and 11200. The biggest common factor number is the GCF number.
So the greatest common factor 11193 and 11200 is 7.

Also check out the Least Common Multiple of 11193 and 11200