What is the Greatest Common Factor of 38318 and 38335?

Greatest common factor (GCF) of 38318 and 38335 is 17.

GCF(38318,38335) = 17

We will now calculate the prime factors of 38318 and 38335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38318 and 38335.

How to find the GCF of 38318 and 38335?

We will first find the prime factorization of 38318 and 38335. After we will calculate the factors of 38318 and 38335 and find the biggest common factor number .

Step-1: Prime Factorization of 38318

Prime factors of 38318 are 2, 7, 17, 23. Prime factorization of 38318 in exponential form is:

38318 = 2¹ × 7² × 17¹ × 23¹

Step-2: 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-3: Factors of 38318

List of positive integer factors of 38318 that divides 38318 without a remainder.

1, 2, 7, 14, 17, 23, 34, 46, 49, 98, 119, 161, 238, 322, 391, 782, 833, 1127, 1666, 2254, 2737, 5474, 19159

Step-4: Factors of 38335

List of positive integer factors of 38335 that divides 38318 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38318 and 38335. The biggest common factor number is the GCF number.
So the greatest common factor 38318 and 38335 is 17.

Also check out the Least Common Multiple of 38318 and 38335