What is the Greatest Common Factor of 37389 and 37393?

Greatest common factor (GCF) of 37389 and 37393 is 1.

GCF(37389,37393) = 1

We will now calculate the prime factors of 37389 and 37393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37389 and 37393.

How to find the GCF of 37389 and 37393?

We will first find the prime factorization of 37389 and 37393. After we will calculate the factors of 37389 and 37393 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 37393

Prime factors of 37393 are 61, 613. Prime factorization of 37393 in exponential form is:

37393 = 61¹ × 613¹

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 37393

List of positive integer factors of 37393 that divides 37389 without a remainder.

1, 61, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37389 and 37393. The biggest common factor number is the GCF number.
So the greatest common factor 37389 and 37393 is 1.

Also check out the Least Common Multiple of 37389 and 37393