What is the Greatest Common Factor of 36777 and 36790?

Greatest common factor (GCF) of 36777 and 36790 is 13.

GCF(36777,36790) = 13

We will now calculate the prime factors of 36777 and 36790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36777 and 36790.

How to find the GCF of 36777 and 36790?

We will first find the prime factorization of 36777 and 36790. After we will calculate the factors of 36777 and 36790 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 36790

Prime factors of 36790 are 2, 5, 13, 283. Prime factorization of 36790 in exponential form is:

36790 = 2¹ × 5¹ × 13¹ × 283¹

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 36790

List of positive integer factors of 36790 that divides 36777 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 283, 566, 1415, 2830, 3679, 7358, 18395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36777 and 36790. The biggest common factor number is the GCF number.
So the greatest common factor 36777 and 36790 is 13.

Also check out the Least Common Multiple of 36777 and 36790