What is the Greatest Common Factor of 36765 and 36779?

Greatest common factor (GCF) of 36765 and 36779 is 1.

GCF(36765,36779) = 1

We will now calculate the prime factors of 36765 and 36779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36765 and 36779.

How to find the GCF of 36765 and 36779?

We will first find the prime factorization of 36765 and 36779. After we will calculate the factors of 36765 and 36779 and find the biggest common factor number .

Step-1: Prime Factorization of 36765

Prime factors of 36765 are 3, 5, 19, 43. Prime factorization of 36765 in exponential form is:

36765 = 3² × 5¹ × 19¹ × 43¹

Step-2: Prime Factorization of 36779

Prime factors of 36779 are 36779. Prime factorization of 36779 in exponential form is:

36779 = 36779¹

Step-3: Factors of 36765

List of positive integer factors of 36765 that divides 36765 without a remainder.

1, 3, 5, 9, 15, 19, 43, 45, 57, 95, 129, 171, 215, 285, 387, 645, 817, 855, 1935, 2451, 4085, 7353, 12255

Step-4: Factors of 36779

List of positive integer factors of 36779 that divides 36765 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36765 and 36779. The biggest common factor number is the GCF number.
So the greatest common factor 36765 and 36779 is 1.

Also check out the Least Common Multiple of 36765 and 36779