What is the Greatest Common Factor of 36815 and 36835?

Greatest common factor (GCF) of 36815 and 36835 is 5.

GCF(36815,36835) = 5

We will now calculate the prime factors of 36815 and 36835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36815 and 36835.

How to find the GCF of 36815 and 36835?

We will first find the prime factorization of 36815 and 36835. After we will calculate the factors of 36815 and 36835 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 36835

Prime factors of 36835 are 5, 53, 139. Prime factorization of 36835 in exponential form is:

36835 = 5¹ × 53¹ × 139¹

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 36835

List of positive integer factors of 36835 that divides 36815 without a remainder.

1, 5, 53, 139, 265, 695, 7367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36815 and 36835. The biggest common factor number is the GCF number.
So the greatest common factor 36815 and 36835 is 5.

Also check out the Least Common Multiple of 36815 and 36835