What is the Greatest Common Factor of 36315 and 36320?

Greatest common factor (GCF) of 36315 and 36320 is 5.

GCF(36315,36320) = 5

We will now calculate the prime factors of 36315 and 36320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36315 and 36320.

How to find the GCF of 36315 and 36320?

We will first find the prime factorization of 36315 and 36320. After we will calculate the factors of 36315 and 36320 and find the biggest common factor number .

Step-1: Prime Factorization of 36315

Prime factors of 36315 are 3, 5, 269. Prime factorization of 36315 in exponential form is:

36315 = 3³ × 5¹ × 269¹

Step-2: Prime Factorization of 36320

Prime factors of 36320 are 2, 5, 227. Prime factorization of 36320 in exponential form is:

36320 = 2⁵ × 5¹ × 227¹

Step-3: Factors of 36315

List of positive integer factors of 36315 that divides 36315 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 269, 807, 1345, 2421, 4035, 7263, 12105

Step-4: Factors of 36320

List of positive integer factors of 36320 that divides 36315 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 227, 454, 908, 1135, 1816, 2270, 3632, 4540, 7264, 9080, 18160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36315 and 36320. The biggest common factor number is the GCF number.
So the greatest common factor 36315 and 36320 is 5.

Also check out the Least Common Multiple of 36315 and 36320