What is the Greatest Common Factor of 38912 and 38923?

Greatest common factor (GCF) of 38912 and 38923 is 1.

GCF(38912,38923) = 1

We will now calculate the prime factors of 38912 and 38923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38912 and 38923.

How to find the GCF of 38912 and 38923?

We will first find the prime factorization of 38912 and 38923. After we will calculate the factors of 38912 and 38923 and find the biggest common factor number .

Step-1: Prime Factorization of 38912

Prime factors of 38912 are 2, 19. Prime factorization of 38912 in exponential form is:

38912 = 2¹¹ × 19¹

Step-2: Prime Factorization of 38923

Prime factors of 38923 are 38923. Prime factorization of 38923 in exponential form is:

38923 = 38923¹

Step-3: Factors of 38912

List of positive integer factors of 38912 that divides 38912 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1024, 1216, 2048, 2432, 4864, 9728, 19456

Step-4: Factors of 38923

List of positive integer factors of 38923 that divides 38912 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38912 and 38923. The biggest common factor number is the GCF number.
So the greatest common factor 38912 and 38923 is 1.

Also check out the Least Common Multiple of 38912 and 38923