What is the Greatest Common Factor of 36800 and 36809?

Greatest common factor (GCF) of 36800 and 36809 is 1.

GCF(36800,36809) = 1

We will now calculate the prime factors of 36800 and 36809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36800 and 36809.

How to find the GCF of 36800 and 36809?

We will first find the prime factorization of 36800 and 36809. After we will calculate the factors of 36800 and 36809 and find the biggest common factor number .

Step-1: Prime Factorization of 36800

Prime factors of 36800 are 2, 5, 23. Prime factorization of 36800 in exponential form is:

36800 = 2⁶ × 5² × 23¹

Step-2: Prime Factorization of 36809

Prime factors of 36809 are 36809. Prime factorization of 36809 in exponential form is:

36809 = 36809¹

Step-3: Factors of 36800

List of positive integer factors of 36800 that divides 36800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 40, 46, 50, 64, 80, 92, 100, 115, 160, 184, 200, 230, 320, 368, 400, 460, 575, 736, 800, 920, 1150, 1472, 1600, 1840, 2300, 3680, 4600, 7360, 9200, 18400

Step-4: Factors of 36809

List of positive integer factors of 36809 that divides 36800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36800 and 36809. The biggest common factor number is the GCF number.
So the greatest common factor 36800 and 36809 is 1.

Also check out the Least Common Multiple of 36800 and 36809