What is the Greatest Common Factor of 11400 and 11420?

Greatest common factor (GCF) of 11400 and 11420 is 20.

GCF(11400,11420) = 20

We will now calculate the prime factors of 11400 and 11420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11400 and 11420.

How to find the GCF of 11400 and 11420?

We will first find the prime factorization of 11400 and 11420. After we will calculate the factors of 11400 and 11420 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11420

Prime factors of 11420 are 2, 5, 571. Prime factorization of 11420 in exponential form is:

11420 = 2² × 5¹ × 571¹

Step-3: Factors of 11400

List of positive integer factors of 11400 that divides 11400 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

Step-4: Factors of 11420

List of positive integer factors of 11420 that divides 11400 without a remainder.

1, 2, 4, 5, 10, 20, 571, 1142, 2284, 2855, 5710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11400 and 11420. The biggest common factor number is the GCF number.
So the greatest common factor 11400 and 11420 is 20.

Also check out the Least Common Multiple of 11400 and 11420