What is the Greatest Common Factor of 38928 and 38940?

Greatest common factor (GCF) of 38928 and 38940 is 12.

GCF(38928,38940) = 12

We will now calculate the prime factors of 38928 and 38940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38928 and 38940.

How to find the GCF of 38928 and 38940?

We will first find the prime factorization of 38928 and 38940. After we will calculate the factors of 38928 and 38940 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 38940

Prime factors of 38940 are 2, 3, 5, 11, 59. Prime factorization of 38940 in exponential form is:

38940 = 2² × 3¹ × 5¹ × 11¹ × 59¹

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 38940

List of positive integer factors of 38940 that divides 38928 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 59, 60, 66, 110, 118, 132, 165, 177, 220, 236, 295, 330, 354, 590, 649, 660, 708, 885, 1180, 1298, 1770, 1947, 2596, 3245, 3540, 3894, 6490, 7788, 9735, 12980, 19470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38928 and 38940. The biggest common factor number is the GCF number.
So the greatest common factor 38928 and 38940 is 12.

Also check out the Least Common Multiple of 38928 and 38940