What is the Greatest Common Factor of 11400 and 11410?

Greatest common factor (GCF) of 11400 and 11410 is 10.

GCF(11400,11410) = 10

We will now calculate the prime factors of 11400 and 11410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11400 and 11410.

How to find the GCF of 11400 and 11410?

We will first find the prime factorization of 11400 and 11410. After we will calculate the factors of 11400 and 11410 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 11410

Prime factors of 11410 are 2, 5, 7, 163. Prime factorization of 11410 in exponential form is:

11410 = 2¹ × 5¹ × 7¹ × 163¹

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 11410

List of positive integer factors of 11410 that divides 11400 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 163, 326, 815, 1141, 1630, 2282, 5705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11400 and 11410. The biggest common factor number is the GCF number.
So the greatest common factor 11400 and 11410 is 10.

Also check out the Least Common Multiple of 11400 and 11410