What is the Greatest Common Factor of 11400 and 11415?

Greatest common factor (GCF) of 11400 and 11415 is 15.

GCF(11400,11415) = 15

We will now calculate the prime factors of 11400 and 11415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11400 and 11415.

How to find the GCF of 11400 and 11415?

We will first find the prime factorization of 11400 and 11415. After we will calculate the factors of 11400 and 11415 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 11415

Prime factors of 11415 are 3, 5, 761. Prime factorization of 11415 in exponential form is:

11415 = 3¹ × 5¹ × 761¹

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 11415

List of positive integer factors of 11415 that divides 11400 without a remainder.

1, 3, 5, 15, 761, 2283, 3805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11400 and 11415. The biggest common factor number is the GCF number.
So the greatest common factor 11400 and 11415 is 15.

Also check out the Least Common Multiple of 11400 and 11415