What is the Greatest Common Factor of 36408 and 36423?

Greatest common factor (GCF) of 36408 and 36423 is 3.

GCF(36408,36423) = 3

We will now calculate the prime factors of 36408 and 36423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36408 and 36423.

How to find the GCF of 36408 and 36423?

We will first find the prime factorization of 36408 and 36423. After we will calculate the factors of 36408 and 36423 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 36423

Prime factors of 36423 are 3, 19, 71. Prime factorization of 36423 in exponential form is:

36423 = 3³ × 19¹ × 71¹

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 36423

List of positive integer factors of 36423 that divides 36408 without a remainder.

1, 3, 9, 19, 27, 57, 71, 171, 213, 513, 639, 1349, 1917, 4047, 12141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36408 and 36423. The biggest common factor number is the GCF number.
So the greatest common factor 36408 and 36423 is 3.

Also check out the Least Common Multiple of 36408 and 36423