What is the Greatest Common Factor of 38320 and 38336?

Greatest common factor (GCF) of 38320 and 38336 is 16.

GCF(38320,38336) = 16

We will now calculate the prime factors of 38320 and 38336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38320 and 38336.

How to find the GCF of 38320 and 38336?

We will first find the prime factorization of 38320 and 38336. After we will calculate the factors of 38320 and 38336 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 38336

Prime factors of 38336 are 2, 599. Prime factorization of 38336 in exponential form is:

38336 = 2⁶ × 599¹

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 38336

List of positive integer factors of 38336 that divides 38320 without a remainder.

1, 2, 4, 8, 16, 32, 64, 599, 1198, 2396, 4792, 9584, 19168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38320 and 38336. The biggest common factor number is the GCF number.
So the greatest common factor 38320 and 38336 is 16.

Also check out the Least Common Multiple of 38320 and 38336