What is the Greatest Common Factor of 37380 and 37395?

Greatest common factor (GCF) of 37380 and 37395 is 15.

GCF(37380,37395) = 15

We will now calculate the prime factors of 37380 and 37395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37380 and 37395.

How to find the GCF of 37380 and 37395?

We will first find the prime factorization of 37380 and 37395. After we will calculate the factors of 37380 and 37395 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 37395

Prime factors of 37395 are 3, 5, 277. Prime factorization of 37395 in exponential form is:

37395 = 3³ × 5¹ × 277¹

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 37395

List of positive integer factors of 37395 that divides 37380 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 277, 831, 1385, 2493, 4155, 7479, 12465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37380 and 37395. The biggest common factor number is the GCF number.
So the greatest common factor 37380 and 37395 is 15.

Also check out the Least Common Multiple of 37380 and 37395