What is the Greatest Common Factor of 36815 and 36833?

Greatest common factor (GCF) of 36815 and 36833 is 1.

GCF(36815,36833) = 1

We will now calculate the prime factors of 36815 and 36833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36815 and 36833.

How to find the GCF of 36815 and 36833?

We will first find the prime factorization of 36815 and 36833. After we will calculate the factors of 36815 and 36833 and find the biggest common factor number .

Step-1: Prime Factorization of 36815

Prime factors of 36815 are 5, 37, 199. Prime factorization of 36815 in exponential form is:

36815 = 5¹ × 37¹ × 199¹

Step-2: Prime Factorization of 36833

Prime factors of 36833 are 36833. Prime factorization of 36833 in exponential form is:

36833 = 36833¹

Step-3: Factors of 36815

List of positive integer factors of 36815 that divides 36815 without a remainder.

1, 5, 37, 185, 199, 995, 7363

Step-4: Factors of 36833

List of positive integer factors of 36833 that divides 36815 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36815 and 36833. The biggest common factor number is the GCF number.
So the greatest common factor 36815 and 36833 is 1.

Also check out the Least Common Multiple of 36815 and 36833