What is the Greatest Common Factor of 38128 and 38144?

Greatest common factor (GCF) of 38128 and 38144 is 16.

GCF(38128,38144) = 16

We will now calculate the prime factors of 38128 and 38144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38128 and 38144.

How to find the GCF of 38128 and 38144?

We will first find the prime factorization of 38128 and 38144. After we will calculate the factors of 38128 and 38144 and find the biggest common factor number .

Step-1: Prime Factorization of 38128

Prime factors of 38128 are 2, 2383. Prime factorization of 38128 in exponential form is:

38128 = 2⁴ × 2383¹

Step-2: Prime Factorization of 38144

Prime factors of 38144 are 2, 149. Prime factorization of 38144 in exponential form is:

38144 = 2⁸ × 149¹

Step-3: Factors of 38128

List of positive integer factors of 38128 that divides 38128 without a remainder.

1, 2, 4, 8, 16, 2383, 4766, 9532, 19064

Step-4: Factors of 38144

List of positive integer factors of 38144 that divides 38128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 149, 256, 298, 596, 1192, 2384, 4768, 9536, 19072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38128 and 38144. The biggest common factor number is the GCF number.
So the greatest common factor 38128 and 38144 is 16.

Also check out the Least Common Multiple of 38128 and 38144