What is the Greatest Common Factor of 38912 and 38922?

Greatest common factor (GCF) of 38912 and 38922 is 2.

GCF(38912,38922) = 2

We will now calculate the prime factors of 38912 and 38922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38912 and 38922.

How to find the GCF of 38912 and 38922?

We will first find the prime factorization of 38912 and 38922. After we will calculate the factors of 38912 and 38922 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 38922

Prime factors of 38922 are 2, 3, 13, 499. Prime factorization of 38922 in exponential form is:

38922 = 2¹ × 3¹ × 13¹ × 499¹

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 38922

List of positive integer factors of 38922 that divides 38912 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 499, 998, 1497, 2994, 6487, 12974, 19461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38912 and 38922. The biggest common factor number is the GCF number.
So the greatest common factor 38912 and 38922 is 2.

Also check out the Least Common Multiple of 38912 and 38922