What is the Greatest Common Factor of 36801 and 36809?

Greatest common factor (GCF) of 36801 and 36809 is 1.

GCF(36801,36809) = 1

We will now calculate the prime factors of 36801 and 36809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36801 and 36809.

How to find the GCF of 36801 and 36809?

We will first find the prime factorization of 36801 and 36809. After we will calculate the factors of 36801 and 36809 and find the biggest common factor number .

Step-1: Prime Factorization of 36801

Prime factors of 36801 are 3, 29, 47. Prime factorization of 36801 in exponential form is:

36801 = 3³ × 29¹ × 47¹

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 36801

List of positive integer factors of 36801 that divides 36801 without a remainder.

1, 3, 9, 27, 29, 47, 87, 141, 261, 423, 783, 1269, 1363, 4089, 12267

Step-4: Factors of 36809

List of positive integer factors of 36809 that divides 36801 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36801 and 36809. The biggest common factor number is the GCF number.
So the greatest common factor 36801 and 36809 is 1.

Also check out the Least Common Multiple of 36801 and 36809