What is the Greatest Common Factor of 36795 and 36815?

Greatest common factor (GCF) of 36795 and 36815 is 5.

GCF(36795,36815) = 5

We will now calculate the prime factors of 36795 and 36815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36795 and 36815.

How to find the GCF of 36795 and 36815?

We will first find the prime factorization of 36795 and 36815. After we will calculate the factors of 36795 and 36815 and find the biggest common factor number .

Step-1: Prime Factorization of 36795

Prime factors of 36795 are 3, 5, 11, 223. Prime factorization of 36795 in exponential form is:

36795 = 3¹ × 5¹ × 11¹ × 223¹

Step-2: 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-3: Factors of 36795

List of positive integer factors of 36795 that divides 36795 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 223, 669, 1115, 2453, 3345, 7359, 12265

Step-4: Factors of 36815

List of positive integer factors of 36815 that divides 36795 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36795 and 36815. The biggest common factor number is the GCF number.
So the greatest common factor 36795 and 36815 is 5.

Also check out the Least Common Multiple of 36795 and 36815