What is the Greatest Common Factor of 37392 and 37404?

Greatest common factor (GCF) of 37392 and 37404 is 12.

GCF(37392,37404) = 12

We will now calculate the prime factors of 37392 and 37404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37392 and 37404.

How to find the GCF of 37392 and 37404?

We will first find the prime factorization of 37392 and 37404. After we will calculate the factors of 37392 and 37404 and find the biggest common factor number .

Step-1: Prime Factorization of 37392

Prime factors of 37392 are 2, 3, 19, 41. Prime factorization of 37392 in exponential form is:

37392 = 2⁴ × 3¹ × 19¹ × 41¹

Step-2: Prime Factorization of 37404

Prime factors of 37404 are 2, 3, 1039. Prime factorization of 37404 in exponential form is:

37404 = 2² × 3² × 1039¹

Step-3: Factors of 37392

List of positive integer factors of 37392 that divides 37392 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 41, 48, 57, 76, 82, 114, 123, 152, 164, 228, 246, 304, 328, 456, 492, 656, 779, 912, 984, 1558, 1968, 2337, 3116, 4674, 6232, 9348, 12464, 18696

Step-4: Factors of 37404

List of positive integer factors of 37404 that divides 37392 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1039, 2078, 3117, 4156, 6234, 9351, 12468, 18702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37392 and 37404. The biggest common factor number is the GCF number.
So the greatest common factor 37392 and 37404 is 12.

Also check out the Least Common Multiple of 37392 and 37404