What is the Greatest Common Factor of 36360 and 36365?

Greatest common factor (GCF) of 36360 and 36365 is 5.

GCF(36360,36365) = 5

We will now calculate the prime factors of 36360 and 36365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36360 and 36365.

How to find the GCF of 36360 and 36365?

We will first find the prime factorization of 36360 and 36365. After we will calculate the factors of 36360 and 36365 and find the biggest common factor number .

Step-1: Prime Factorization of 36360

Prime factors of 36360 are 2, 3, 5, 101. Prime factorization of 36360 in exponential form is:

36360 = 2³ × 3² × 5¹ × 101¹

Step-2: Prime Factorization of 36365

Prime factors of 36365 are 5, 7, 1039. Prime factorization of 36365 in exponential form is:

36365 = 5¹ × 7¹ × 1039¹

Step-3: Factors of 36360

List of positive integer factors of 36360 that divides 36360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 101, 120, 180, 202, 303, 360, 404, 505, 606, 808, 909, 1010, 1212, 1515, 1818, 2020, 2424, 3030, 3636, 4040, 4545, 6060, 7272, 9090, 12120, 18180

Step-4: Factors of 36365

List of positive integer factors of 36365 that divides 36360 without a remainder.

1, 5, 7, 35, 1039, 5195, 7273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36360 and 36365. The biggest common factor number is the GCF number.
So the greatest common factor 36360 and 36365 is 5.

Also check out the Least Common Multiple of 36360 and 36365