What is the Greatest Common Factor of 36265 and 36280?

Greatest common factor (GCF) of 36265 and 36280 is 5.

GCF(36265,36280) = 5

We will now calculate the prime factors of 36265 and 36280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36265 and 36280.

How to find the GCF of 36265 and 36280?

We will first find the prime factorization of 36265 and 36280. After we will calculate the factors of 36265 and 36280 and find the biggest common factor number .

Step-1: Prime Factorization of 36265

Prime factors of 36265 are 5, 7253. Prime factorization of 36265 in exponential form is:

36265 = 5¹ × 7253¹

Step-2: Prime Factorization of 36280

Prime factors of 36280 are 2, 5, 907. Prime factorization of 36280 in exponential form is:

36280 = 2³ × 5¹ × 907¹

Step-3: Factors of 36265

List of positive integer factors of 36265 that divides 36265 without a remainder.

1, 5, 7253

Step-4: Factors of 36280

List of positive integer factors of 36280 that divides 36265 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 907, 1814, 3628, 4535, 7256, 9070, 18140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36265 and 36280. The biggest common factor number is the GCF number.
So the greatest common factor 36265 and 36280 is 5.

Also check out the Least Common Multiple of 36265 and 36280