What is the Greatest Common Factor of 36777 and 36795?

Greatest common factor (GCF) of 36777 and 36795 is 3.

GCF(36777,36795) = 3

We will now calculate the prime factors of 36777 and 36795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36777 and 36795.

How to find the GCF of 36777 and 36795?

We will first find the prime factorization of 36777 and 36795. After we will calculate the factors of 36777 and 36795 and find the biggest common factor number .

Step-1: Prime Factorization of 36777

Prime factors of 36777 are 3, 13, 23, 41. Prime factorization of 36777 in exponential form is:

36777 = 3¹ × 13¹ × 23¹ × 41¹

Step-2: 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-3: Factors of 36777

List of positive integer factors of 36777 that divides 36777 without a remainder.

1, 3, 13, 23, 39, 41, 69, 123, 299, 533, 897, 943, 1599, 2829, 12259

Step-4: Factors of 36795

List of positive integer factors of 36795 that divides 36777 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36777 and 36795. The biggest common factor number is the GCF number.
So the greatest common factor 36777 and 36795 is 3.

Also check out the Least Common Multiple of 36777 and 36795