What is the Greatest Common Factor of 38335 and 38341?

Greatest common factor (GCF) of 38335 and 38341 is 1.

GCF(38335,38341) = 1

We will now calculate the prime factors of 38335 and 38341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38335 and 38341.

How to find the GCF of 38335 and 38341?

We will first find the prime factorization of 38335 and 38341. After we will calculate the factors of 38335 and 38341 and find the biggest common factor number .

Step-1: Prime Factorization of 38335

Prime factors of 38335 are 5, 11, 17, 41. Prime factorization of 38335 in exponential form is:

38335 = 5¹ × 11¹ × 17¹ × 41¹

Step-2: Prime Factorization of 38341

Prime factors of 38341 are 23, 1667. Prime factorization of 38341 in exponential form is:

38341 = 23¹ × 1667¹

Step-3: Factors of 38335

List of positive integer factors of 38335 that divides 38335 without a remainder.

1, 5, 11, 17, 41, 55, 85, 187, 205, 451, 697, 935, 2255, 3485, 7667

Step-4: Factors of 38341

List of positive integer factors of 38341 that divides 38335 without a remainder.

1, 23, 1667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38335 and 38341. The biggest common factor number is the GCF number.
So the greatest common factor 38335 and 38341 is 1.

Also check out the Least Common Multiple of 38335 and 38341