What is the Greatest Common Factor of 38313 and 38330?

Greatest common factor (GCF) of 38313 and 38330 is 1.

GCF(38313,38330) = 1

We will now calculate the prime factors of 38313 and 38330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38313 and 38330.

How to find the GCF of 38313 and 38330?

We will first find the prime factorization of 38313 and 38330. After we will calculate the factors of 38313 and 38330 and find the biggest common factor number .

Step-1: Prime Factorization of 38313

Prime factors of 38313 are 3, 11, 43. Prime factorization of 38313 in exponential form is:

38313 = 3⁴ × 11¹ × 43¹

Step-2: Prime Factorization of 38330

Prime factors of 38330 are 2, 5, 3833. Prime factorization of 38330 in exponential form is:

38330 = 2¹ × 5¹ × 3833¹

Step-3: Factors of 38313

List of positive integer factors of 38313 that divides 38313 without a remainder.

1, 3, 9, 11, 27, 33, 43, 81, 99, 129, 297, 387, 473, 891, 1161, 1419, 3483, 4257, 12771

Step-4: Factors of 38330

List of positive integer factors of 38330 that divides 38313 without a remainder.

1, 2, 5, 10, 3833, 7666, 19165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38313 and 38330. The biggest common factor number is the GCF number.
So the greatest common factor 38313 and 38330 is 1.

Also check out the Least Common Multiple of 38313 and 38330