What is the Greatest Common Factor of 37395 and 37400?

Greatest common factor (GCF) of 37395 and 37400 is 5.

GCF(37395,37400) = 5

We will now calculate the prime factors of 37395 and 37400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37395 and 37400.

How to find the GCF of 37395 and 37400?

We will first find the prime factorization of 37395 and 37400. After we will calculate the factors of 37395 and 37400 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 37400

Prime factors of 37400 are 2, 5, 11, 17. Prime factorization of 37400 in exponential form is:

37400 = 2³ × 5² × 11¹ × 17¹

Step-3: Factors of 37395

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

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

Step-4: Factors of 37400

List of positive integer factors of 37400 that divides 37395 without a remainder.

1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 25, 34, 40, 44, 50, 55, 68, 85, 88, 100, 110, 136, 170, 187, 200, 220, 275, 340, 374, 425, 440, 550, 680, 748, 850, 935, 1100, 1496, 1700, 1870, 2200, 3400, 3740, 4675, 7480, 9350, 18700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37395 and 37400. The biggest common factor number is the GCF number.
So the greatest common factor 37395 and 37400 is 5.

Also check out the Least Common Multiple of 37395 and 37400