What is the Greatest Common Factor of 18400 and 18407?

Greatest common factor (GCF) of 18400 and 18407 is 1.

GCF(18400,18407) = 1

We will now calculate the prime factors of 18400 and 18407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18400 and 18407.

How to find the GCF of 18400 and 18407?

We will first find the prime factorization of 18400 and 18407. After we will calculate the factors of 18400 and 18407 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 18407

Prime factors of 18407 are 79, 233. Prime factorization of 18407 in exponential form is:

18407 = 79¹ × 233¹

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 18407

List of positive integer factors of 18407 that divides 18400 without a remainder.

1, 79, 233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18400 and 18407. The biggest common factor number is the GCF number.
So the greatest common factor 18400 and 18407 is 1.

Also check out the Least Common Multiple of 18400 and 18407