What is the Greatest Common Factor of 36795 and 36801?

Greatest common factor (GCF) of 36795 and 36801 is 3.

GCF(36795,36801) = 3

We will now calculate the prime factors of 36795 and 36801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36795 and 36801.

How to find the GCF of 36795 and 36801?

We will first find the prime factorization of 36795 and 36801. After we will calculate the factors of 36795 and 36801 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 36801

Prime factors of 36801 are 3, 29, 47. Prime factorization of 36801 in exponential form is:

36801 = 3³ × 29¹ × 47¹

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 36801

List of positive integer factors of 36801 that divides 36795 without a remainder.

1, 3, 9, 27, 29, 47, 87, 141, 261, 423, 783, 1269, 1363, 4089, 12267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36795 and 36801. The biggest common factor number is the GCF number.
So the greatest common factor 36795 and 36801 is 3.

Also check out the Least Common Multiple of 36795 and 36801