What is the Greatest Common Factor of 38320 and 38326?

Greatest common factor (GCF) of 38320 and 38326 is 2.

GCF(38320,38326) = 2

We will now calculate the prime factors of 38320 and 38326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38320 and 38326.

How to find the GCF of 38320 and 38326?

We will first find the prime factorization of 38320 and 38326. After we will calculate the factors of 38320 and 38326 and find the biggest common factor number .

Step-1: Prime Factorization of 38320

Prime factors of 38320 are 2, 5, 479. Prime factorization of 38320 in exponential form is:

38320 = 2⁴ × 5¹ × 479¹

Step-2: Prime Factorization of 38326

Prime factors of 38326 are 2, 19163. Prime factorization of 38326 in exponential form is:

38326 = 2¹ × 19163¹

Step-3: Factors of 38320

List of positive integer factors of 38320 that divides 38320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 479, 958, 1916, 2395, 3832, 4790, 7664, 9580, 19160

Step-4: Factors of 38326

List of positive integer factors of 38326 that divides 38320 without a remainder.

1, 2, 19163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38320 and 38326. The biggest common factor number is the GCF number.
So the greatest common factor 38320 and 38326 is 2.

Also check out the Least Common Multiple of 38320 and 38326