What is the Greatest Common Factor of 36304 and 36319?

Greatest common factor (GCF) of 36304 and 36319 is 1.

GCF(36304,36319) = 1

We will now calculate the prime factors of 36304 and 36319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36304 and 36319.

How to find the GCF of 36304 and 36319?

We will first find the prime factorization of 36304 and 36319. After we will calculate the factors of 36304 and 36319 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 36319

Prime factors of 36319 are 36319. Prime factorization of 36319 in exponential form is:

36319 = 36319¹

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 36319

List of positive integer factors of 36319 that divides 36304 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36304 and 36319. The biggest common factor number is the GCF number.
So the greatest common factor 36304 and 36319 is 1.

Also check out the Least Common Multiple of 36304 and 36319