What is the Greatest Common Factor of 36045 and 36065?

Greatest common factor (GCF) of 36045 and 36065 is 5.

GCF(36045,36065) = 5

We will now calculate the prime factors of 36045 and 36065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36045 and 36065.

How to find the GCF of 36045 and 36065?

We will first find the prime factorization of 36045 and 36065. After we will calculate the factors of 36045 and 36065 and find the biggest common factor number .

Step-1: Prime Factorization of 36045

Prime factors of 36045 are 3, 5, 89. Prime factorization of 36045 in exponential form is:

36045 = 3⁴ × 5¹ × 89¹

Step-2: Prime Factorization of 36065

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

36065 = 5¹ × 7213¹

Step-3: Factors of 36045

List of positive integer factors of 36045 that divides 36045 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 89, 135, 267, 405, 445, 801, 1335, 2403, 4005, 7209, 12015

Step-4: Factors of 36065

List of positive integer factors of 36065 that divides 36045 without a remainder.

1, 5, 7213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36045 and 36065. The biggest common factor number is the GCF number.
So the greatest common factor 36045 and 36065 is 5.

Also check out the Least Common Multiple of 36045 and 36065