What is the Greatest Common Factor of 37389 and 37400?

Greatest common factor (GCF) of 37389 and 37400 is 11.

GCF(37389,37400) = 11

We will now calculate the prime factors of 37389 and 37400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37389 and 37400.

How to find the GCF of 37389 and 37400?

We will first find the prime factorization of 37389 and 37400. After we will calculate the factors of 37389 and 37400 and find the biggest common factor number .

Step-1: Prime Factorization of 37389

Prime factors of 37389 are 3, 11, 103. Prime factorization of 37389 in exponential form is:

37389 = 3¹ × 11² × 103¹

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 37389

List of positive integer factors of 37389 that divides 37389 without a remainder.

1, 3, 11, 33, 103, 121, 309, 363, 1133, 3399, 12463

Step-4: Factors of 37400

List of positive integer factors of 37400 that divides 37389 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 37389 and 37400. The biggest common factor number is the GCF number.
So the greatest common factor 37389 and 37400 is 11.

Also check out the Least Common Multiple of 37389 and 37400