What is the Greatest Common Factor of 36375 and 36384?

Greatest common factor (GCF) of 36375 and 36384 is 3.

GCF(36375,36384) = 3

We will now calculate the prime factors of 36375 and 36384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36375 and 36384.

How to find the GCF of 36375 and 36384?

We will first find the prime factorization of 36375 and 36384. After we will calculate the factors of 36375 and 36384 and find the biggest common factor number .

Step-1: Prime Factorization of 36375

Prime factors of 36375 are 3, 5, 97. Prime factorization of 36375 in exponential form is:

36375 = 3¹ × 5³ × 97¹

Step-2: 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-3: Factors of 36375

List of positive integer factors of 36375 that divides 36375 without a remainder.

1, 3, 5, 15, 25, 75, 97, 125, 291, 375, 485, 1455, 2425, 7275, 12125

Step-4: Factors of 36384

List of positive integer factors of 36384 that divides 36375 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36375 and 36384. The biggest common factor number is the GCF number.
So the greatest common factor 36375 and 36384 is 3.

Also check out the Least Common Multiple of 36375 and 36384