What is the Greatest Common Factor of 36795 and 36813?

Greatest common factor (GCF) of 36795 and 36813 is 3.

GCF(36795,36813) = 3

We will now calculate the prime factors of 36795 and 36813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36795 and 36813.

How to find the GCF of 36795 and 36813?

We will first find the prime factorization of 36795 and 36813. After we will calculate the factors of 36795 and 36813 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 36813

Prime factors of 36813 are 3, 7, 1753. Prime factorization of 36813 in exponential form is:

36813 = 3¹ × 7¹ × 1753¹

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 36813

List of positive integer factors of 36813 that divides 36795 without a remainder.

1, 3, 7, 21, 1753, 5259, 12271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36795 and 36813. The biggest common factor number is the GCF number.
So the greatest common factor 36795 and 36813 is 3.

Also check out the Least Common Multiple of 36795 and 36813