What is the Greatest Common Factor of 37368 and 37381?

Greatest common factor (GCF) of 37368 and 37381 is 1.

GCF(37368,37381) = 1

We will now calculate the prime factors of 37368 and 37381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37368 and 37381.

How to find the GCF of 37368 and 37381?

We will first find the prime factorization of 37368 and 37381. After we will calculate the factors of 37368 and 37381 and find the biggest common factor number .

Step-1: Prime Factorization of 37368

Prime factors of 37368 are 2, 3, 173. Prime factorization of 37368 in exponential form is:

37368 = 2³ × 3³ × 173¹

Step-2: Prime Factorization of 37381

Prime factors of 37381 are 29, 1289. Prime factorization of 37381 in exponential form is:

37381 = 29¹ × 1289¹

Step-3: Factors of 37368

List of positive integer factors of 37368 that divides 37368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 173, 216, 346, 519, 692, 1038, 1384, 1557, 2076, 3114, 4152, 4671, 6228, 9342, 12456, 18684

Step-4: Factors of 37381

List of positive integer factors of 37381 that divides 37368 without a remainder.

1, 29, 1289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37368 and 37381. The biggest common factor number is the GCF number.
So the greatest common factor 37368 and 37381 is 1.

Also check out the Least Common Multiple of 37368 and 37381