What is the Greatest Common Factor of 11386 and 11400?

Greatest common factor (GCF) of 11386 and 11400 is 2.

GCF(11386,11400) = 2

We will now calculate the prime factors of 11386 and 11400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11386 and 11400.

How to find the GCF of 11386 and 11400?

We will first find the prime factorization of 11386 and 11400. After we will calculate the factors of 11386 and 11400 and find the biggest common factor number .

Step-1: Prime Factorization of 11386

Prime factors of 11386 are 2, 5693. Prime factorization of 11386 in exponential form is:

11386 = 2¹ × 5693¹

Step-2: Prime Factorization of 11400

Prime factors of 11400 are 2, 3, 5, 19. Prime factorization of 11400 in exponential form is:

11400 = 2³ × 3¹ × 5² × 19¹

Step-3: Factors of 11386

List of positive integer factors of 11386 that divides 11386 without a remainder.

1, 2, 5693

Step-4: Factors of 11400

List of positive integer factors of 11400 that divides 11386 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 25, 30, 38, 40, 50, 57, 60, 75, 76, 95, 100, 114, 120, 150, 152, 190, 200, 228, 285, 300, 380, 456, 475, 570, 600, 760, 950, 1140, 1425, 1900, 2280, 2850, 3800, 5700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11386 and 11400. The biggest common factor number is the GCF number.
So the greatest common factor 11386 and 11400 is 2.

Also check out the Least Common Multiple of 11386 and 11400