What is the Greatest Common Factor of 11400 and 11413?

Greatest common factor (GCF) of 11400 and 11413 is 1.

GCF(11400,11413) = 1

We will now calculate the prime factors of 11400 and 11413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11400 and 11413.

How to find the GCF of 11400 and 11413?

We will first find the prime factorization of 11400 and 11413. After we will calculate the factors of 11400 and 11413 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 11413

Prime factors of 11413 are 101, 113. Prime factorization of 11413 in exponential form is:

11413 = 101¹ × 113¹

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 11413

List of positive integer factors of 11413 that divides 11400 without a remainder.

1, 101, 113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11400 and 11413. The biggest common factor number is the GCF number.
So the greatest common factor 11400 and 11413 is 1.

Also check out the Least Common Multiple of 11400 and 11413