What is the Greatest Common Factor of 38335 and 38346?

Greatest common factor (GCF) of 38335 and 38346 is 11.

GCF(38335,38346) = 11

We will now calculate the prime factors of 38335 and 38346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38335 and 38346.

How to find the GCF of 38335 and 38346?

We will first find the prime factorization of 38335 and 38346. After we will calculate the factors of 38335 and 38346 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 38346

Prime factors of 38346 are 2, 3, 7, 11, 83. Prime factorization of 38346 in exponential form is:

38346 = 2¹ × 3¹ × 7¹ × 11¹ × 83¹

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 38346

List of positive integer factors of 38346 that divides 38335 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 83, 154, 166, 231, 249, 462, 498, 581, 913, 1162, 1743, 1826, 2739, 3486, 5478, 6391, 12782, 19173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38335 and 38346. The biggest common factor number is the GCF number.
So the greatest common factor 38335 and 38346 is 11.

Also check out the Least Common Multiple of 38335 and 38346