What is the Greatest Common Factor of 36360 and 36369?

Greatest common factor (GCF) of 36360 and 36369 is 9.

GCF(36360,36369) = 9

We will now calculate the prime factors of 36360 and 36369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36360 and 36369.

How to find the GCF of 36360 and 36369?

We will first find the prime factorization of 36360 and 36369. After we will calculate the factors of 36360 and 36369 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 36369

Prime factors of 36369 are 3, 449. Prime factorization of 36369 in exponential form is:

36369 = 3⁴ × 449¹

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 36369

List of positive integer factors of 36369 that divides 36360 without a remainder.

1, 3, 9, 27, 81, 449, 1347, 4041, 12123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36360 and 36369. The biggest common factor number is the GCF number.
So the greatest common factor 36360 and 36369 is 9.

Also check out the Least Common Multiple of 36360 and 36369