What is the Greatest Common Factor of 37383 and 37389?

Greatest common factor (GCF) of 37383 and 37389 is 3.

GCF(37383,37389) = 3

We will now calculate the prime factors of 37383 and 37389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37383 and 37389.

How to find the GCF of 37383 and 37389?

We will first find the prime factorization of 37383 and 37389. After we will calculate the factors of 37383 and 37389 and find the biggest common factor number .

Step-1: Prime Factorization of 37383

Prime factors of 37383 are 3, 17, 733. Prime factorization of 37383 in exponential form is:

37383 = 3¹ × 17¹ × 733¹

Step-2: 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-3: Factors of 37383

List of positive integer factors of 37383 that divides 37383 without a remainder.

1, 3, 17, 51, 733, 2199, 12461

Step-4: Factors of 37389

List of positive integer factors of 37389 that divides 37383 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37383 and 37389. The biggest common factor number is the GCF number.
So the greatest common factor 37383 and 37389 is 3.

Also check out the Least Common Multiple of 37383 and 37389