What is the Greatest Common Factor of 36355 and 36360?

Greatest common factor (GCF) of 36355 and 36360 is 5.

GCF(36355,36360) = 5

We will now calculate the prime factors of 36355 and 36360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36355 and 36360.

How to find the GCF of 36355 and 36360?

We will first find the prime factorization of 36355 and 36360. After we will calculate the factors of 36355 and 36360 and find the biggest common factor number .

Step-1: Prime Factorization of 36355

Prime factors of 36355 are 5, 11, 661. Prime factorization of 36355 in exponential form is:

36355 = 5¹ × 11¹ × 661¹

Step-2: 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-3: Factors of 36355

List of positive integer factors of 36355 that divides 36355 without a remainder.

1, 5, 11, 55, 661, 3305, 7271

Step-4: Factors of 36360

List of positive integer factors of 36360 that divides 36355 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36355 and 36360. The biggest common factor number is the GCF number.
So the greatest common factor 36355 and 36360 is 5.

Also check out the Least Common Multiple of 36355 and 36360