What is the Greatest Common Factor of 36065 and 36076?

Greatest common factor (GCF) of 36065 and 36076 is 1.

GCF(36065,36076) = 1

We will now calculate the prime factors of 36065 and 36076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36065 and 36076.

How to find the GCF of 36065 and 36076?

We will first find the prime factorization of 36065 and 36076. After we will calculate the factors of 36065 and 36076 and find the biggest common factor number .

Step-1: Prime Factorization of 36065

Prime factors of 36065 are 5, 7213. Prime factorization of 36065 in exponential form is:

36065 = 5¹ × 7213¹

Step-2: Prime Factorization of 36076

Prime factors of 36076 are 2, 29, 311. Prime factorization of 36076 in exponential form is:

36076 = 2² × 29¹ × 311¹

Step-3: Factors of 36065

List of positive integer factors of 36065 that divides 36065 without a remainder.

1, 5, 7213

Step-4: Factors of 36076

List of positive integer factors of 36076 that divides 36065 without a remainder.

1, 2, 4, 29, 58, 116, 311, 622, 1244, 9019, 18038

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36065 and 36076. The biggest common factor number is the GCF number.
So the greatest common factor 36065 and 36076 is 1.

Also check out the Least Common Multiple of 36065 and 36076