What is the Greatest Common Factor of 36765 and 36772?

Greatest common factor (GCF) of 36765 and 36772 is 1.

GCF(36765,36772) = 1

We will now calculate the prime factors of 36765 and 36772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36765 and 36772.

How to find the GCF of 36765 and 36772?

We will first find the prime factorization of 36765 and 36772. After we will calculate the factors of 36765 and 36772 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 36772

Prime factors of 36772 are 2, 29, 317. Prime factorization of 36772 in exponential form is:

36772 = 2² × 29¹ × 317¹

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 36772

List of positive integer factors of 36772 that divides 36765 without a remainder.

1, 2, 4, 29, 58, 116, 317, 634, 1268, 9193, 18386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36765 and 36772. The biggest common factor number is the GCF number.
So the greatest common factor 36765 and 36772 is 1.

Also check out the Least Common Multiple of 36765 and 36772