What is the Greatest Common Factor of 38928 and 38938?

Greatest common factor (GCF) of 38928 and 38938 is 2.

GCF(38928,38938) = 2

We will now calculate the prime factors of 38928 and 38938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38928 and 38938.

How to find the GCF of 38928 and 38938?

We will first find the prime factorization of 38928 and 38938. After we will calculate the factors of 38928 and 38938 and find the biggest common factor number .

Step-1: Prime Factorization of 38928

Prime factors of 38928 are 2, 3, 811. Prime factorization of 38928 in exponential form is:

38928 = 2⁴ × 3¹ × 811¹

Step-2: Prime Factorization of 38938

Prime factors of 38938 are 2, 19469. Prime factorization of 38938 in exponential form is:

38938 = 2¹ × 19469¹

Step-3: Factors of 38928

List of positive integer factors of 38928 that divides 38928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 811, 1622, 2433, 3244, 4866, 6488, 9732, 12976, 19464

Step-4: Factors of 38938

List of positive integer factors of 38938 that divides 38928 without a remainder.

1, 2, 19469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38928 and 38938. The biggest common factor number is the GCF number.
So the greatest common factor 38928 and 38938 is 2.

Also check out the Least Common Multiple of 38928 and 38938