What is the Greatest Common Factor of 36399 and 36408?

Greatest common factor (GCF) of 36399 and 36408 is 3.

GCF(36399,36408) = 3

We will now calculate the prime factors of 36399 and 36408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36399 and 36408.

How to find the GCF of 36399 and 36408?

We will first find the prime factorization of 36399 and 36408. After we will calculate the factors of 36399 and 36408 and find the biggest common factor number .

Step-1: Prime Factorization of 36399

Prime factors of 36399 are 3, 11, 1103. Prime factorization of 36399 in exponential form is:

36399 = 3¹ × 11¹ × 1103¹

Step-2: Prime Factorization of 36408

Prime factors of 36408 are 2, 3, 37, 41. Prime factorization of 36408 in exponential form is:

36408 = 2³ × 3¹ × 37¹ × 41¹

Step-3: Factors of 36399

List of positive integer factors of 36399 that divides 36399 without a remainder.

1, 3, 11, 33, 1103, 3309, 12133

Step-4: Factors of 36408

List of positive integer factors of 36408 that divides 36399 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 41, 74, 82, 111, 123, 148, 164, 222, 246, 296, 328, 444, 492, 888, 984, 1517, 3034, 4551, 6068, 9102, 12136, 18204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36399 and 36408. The biggest common factor number is the GCF number.
So the greatest common factor 36399 and 36408 is 3.

Also check out the Least Common Multiple of 36399 and 36408