What is the Greatest Common Factor of 18400 and 18413?

Greatest common factor (GCF) of 18400 and 18413 is 1.

GCF(18400,18413) = 1

We will now calculate the prime factors of 18400 and 18413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18400 and 18413.

How to find the GCF of 18400 and 18413?

We will first find the prime factorization of 18400 and 18413. After we will calculate the factors of 18400 and 18413 and find the biggest common factor number .

Step-1: Prime Factorization of 18400

Prime factors of 18400 are 2, 5, 23. Prime factorization of 18400 in exponential form is:

18400 = 2⁵ × 5² × 23¹

Step-2: Prime Factorization of 18413

Prime factors of 18413 are 18413. Prime factorization of 18413 in exponential form is:

18413 = 18413¹

Step-3: Factors of 18400

List of positive integer factors of 18400 that divides 18400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 40, 46, 50, 80, 92, 100, 115, 160, 184, 200, 230, 368, 400, 460, 575, 736, 800, 920, 1150, 1840, 2300, 3680, 4600, 9200

Step-4: Factors of 18413

List of positive integer factors of 18413 that divides 18400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18400 and 18413. The biggest common factor number is the GCF number.
So the greatest common factor 18400 and 18413 is 1.

Also check out the Least Common Multiple of 18400 and 18413