What is the Greatest Common Factor of 36384 and 36395?

Greatest common factor (GCF) of 36384 and 36395 is 1.

GCF(36384,36395) = 1

We will now calculate the prime factors of 36384 and 36395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36384 and 36395.

How to find the GCF of 36384 and 36395?

We will first find the prime factorization of 36384 and 36395. After we will calculate the factors of 36384 and 36395 and find the biggest common factor number .

Step-1: Prime Factorization of 36384

Prime factors of 36384 are 2, 3, 379. Prime factorization of 36384 in exponential form is:

36384 = 2⁵ × 3¹ × 379¹

Step-2: Prime Factorization of 36395

Prime factors of 36395 are 5, 29, 251. Prime factorization of 36395 in exponential form is:

36395 = 5¹ × 29¹ × 251¹

Step-3: Factors of 36384

List of positive integer factors of 36384 that divides 36384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 379, 758, 1137, 1516, 2274, 3032, 4548, 6064, 9096, 12128, 18192

Step-4: Factors of 36395

List of positive integer factors of 36395 that divides 36384 without a remainder.

1, 5, 29, 145, 251, 1255, 7279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36384 and 36395. The biggest common factor number is the GCF number.
So the greatest common factor 36384 and 36395 is 1.

Also check out the Least Common Multiple of 36384 and 36395