What is the Greatest Common Factor of 36304 and 36320?

Greatest common factor (GCF) of 36304 and 36320 is 16.

GCF(36304,36320) = 16

We will now calculate the prime factors of 36304 and 36320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36304 and 36320.

How to find the GCF of 36304 and 36320?

We will first find the prime factorization of 36304 and 36320. After we will calculate the factors of 36304 and 36320 and find the biggest common factor number .

Step-1: Prime Factorization of 36304

Prime factors of 36304 are 2, 2269. Prime factorization of 36304 in exponential form is:

36304 = 2⁴ × 2269¹

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 36304

List of positive integer factors of 36304 that divides 36304 without a remainder.

1, 2, 4, 8, 16, 2269, 4538, 9076, 18152

Step-4: Factors of 36320

List of positive integer factors of 36320 that divides 36304 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 36304 and 36320. The biggest common factor number is the GCF number.
So the greatest common factor 36304 and 36320 is 16.

Also check out the Least Common Multiple of 36304 and 36320