What is the Greatest Common Factor of 36777 and 36789?

Greatest common factor (GCF) of 36777 and 36789 is 3.

GCF(36777,36789) = 3

We will now calculate the prime factors of 36777 and 36789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36777 and 36789.

How to find the GCF of 36777 and 36789?

We will first find the prime factorization of 36777 and 36789. After we will calculate the factors of 36777 and 36789 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 36789

Prime factors of 36789 are 3, 12263. Prime factorization of 36789 in exponential form is:

36789 = 3¹ × 12263¹

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 36789

List of positive integer factors of 36789 that divides 36777 without a remainder.

1, 3, 12263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36777 and 36789. The biggest common factor number is the GCF number.
So the greatest common factor 36777 and 36789 is 3.

Also check out the Least Common Multiple of 36777 and 36789