What is the Greatest Common Factor of 36795 and 36804?

Greatest common factor (GCF) of 36795 and 36804 is 3.

GCF(36795,36804) = 3

We will now calculate the prime factors of 36795 and 36804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36795 and 36804.

How to find the GCF of 36795 and 36804?

We will first find the prime factorization of 36795 and 36804. After we will calculate the factors of 36795 and 36804 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 36804

Prime factors of 36804 are 2, 3, 3067. Prime factorization of 36804 in exponential form is:

36804 = 2² × 3¹ × 3067¹

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 36804

List of positive integer factors of 36804 that divides 36795 without a remainder.

1, 2, 3, 4, 6, 12, 3067, 6134, 9201, 12268, 18402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36795 and 36804. The biggest common factor number is the GCF number.
So the greatest common factor 36795 and 36804 is 3.

Also check out the Least Common Multiple of 36795 and 36804