What is the Greatest Common Factor of 11380 and 11400?

Greatest common factor (GCF) of 11380 and 11400 is 20.

GCF(11380,11400) = 20

We will now calculate the prime factors of 11380 and 11400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11380 and 11400.

How to find the GCF of 11380 and 11400?

We will first find the prime factorization of 11380 and 11400. After we will calculate the factors of 11380 and 11400 and find the biggest common factor number .

Step-1: Prime Factorization of 11380

Prime factors of 11380 are 2, 5, 569. Prime factorization of 11380 in exponential form is:

11380 = 2² × 5¹ × 569¹

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 11380

List of positive integer factors of 11380 that divides 11380 without a remainder.

1, 2, 4, 5, 10, 20, 569, 1138, 2276, 2845, 5690

Step-4: Factors of 11400

List of positive integer factors of 11400 that divides 11380 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 11380 and 11400. The biggest common factor number is the GCF number.
So the greatest common factor 11380 and 11400 is 20.

Also check out the Least Common Multiple of 11380 and 11400