What is the Greatest Common Factor of 36408 and 36415?

Greatest common factor (GCF) of 36408 and 36415 is 1.

GCF(36408,36415) = 1

We will now calculate the prime factors of 36408 and 36415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36408 and 36415.

How to find the GCF of 36408 and 36415?

We will first find the prime factorization of 36408 and 36415. After we will calculate the factors of 36408 and 36415 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36415

Prime factors of 36415 are 5, 7283. Prime factorization of 36415 in exponential form is:

36415 = 5¹ × 7283¹

Step-3: Factors of 36408

List of positive integer factors of 36408 that divides 36408 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

Step-4: Factors of 36415

List of positive integer factors of 36415 that divides 36408 without a remainder.

1, 5, 7283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36408 and 36415. The biggest common factor number is the GCF number.
So the greatest common factor 36408 and 36415 is 1.

Also check out the Least Common Multiple of 36408 and 36415