What is the Greatest Common Factor of 36768 and 36777?

Greatest common factor (GCF) of 36768 and 36777 is 3.

GCF(36768,36777) = 3

We will now calculate the prime factors of 36768 and 36777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36768 and 36777.

How to find the GCF of 36768 and 36777?

We will first find the prime factorization of 36768 and 36777. After we will calculate the factors of 36768 and 36777 and find the biggest common factor number .

Step-1: Prime Factorization of 36768

Prime factors of 36768 are 2, 3, 383. Prime factorization of 36768 in exponential form is:

36768 = 2⁵ × 3¹ × 383¹

Step-2: 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-3: Factors of 36768

List of positive integer factors of 36768 that divides 36768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 383, 766, 1149, 1532, 2298, 3064, 4596, 6128, 9192, 12256, 18384

Step-4: Factors of 36777

List of positive integer factors of 36777 that divides 36768 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36768 and 36777. The biggest common factor number is the GCF number.
So the greatest common factor 36768 and 36777 is 3.

Also check out the Least Common Multiple of 36768 and 36777