What is the Greatest Common Factor of 37380 and 37392?

Greatest common factor (GCF) of 37380 and 37392 is 12.

GCF(37380,37392) = 12

We will now calculate the prime factors of 37380 and 37392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37380 and 37392.

How to find the GCF of 37380 and 37392?

We will first find the prime factorization of 37380 and 37392. After we will calculate the factors of 37380 and 37392 and find the biggest common factor number .

Step-1: Prime Factorization of 37380

Prime factors of 37380 are 2, 3, 5, 7, 89. Prime factorization of 37380 in exponential form is:

37380 = 2² × 3¹ × 5¹ × 7¹ × 89¹

Step-2: 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-3: Factors of 37380

List of positive integer factors of 37380 that divides 37380 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 89, 105, 140, 178, 210, 267, 356, 420, 445, 534, 623, 890, 1068, 1246, 1335, 1780, 1869, 2492, 2670, 3115, 3738, 5340, 6230, 7476, 9345, 12460, 18690

Step-4: Factors of 37392

List of positive integer factors of 37392 that divides 37380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37380 and 37392. The biggest common factor number is the GCF number.
So the greatest common factor 37380 and 37392 is 12.

Also check out the Least Common Multiple of 37380 and 37392