What is the Greatest Common Factor of 38913 and 38928?

Greatest common factor (GCF) of 38913 and 38928 is 3.

GCF(38913,38928) = 3

We will now calculate the prime factors of 38913 and 38928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38913 and 38928.

How to find the GCF of 38913 and 38928?

We will first find the prime factorization of 38913 and 38928. After we will calculate the factors of 38913 and 38928 and find the biggest common factor number .

Step-1: Prime Factorization of 38913

Prime factors of 38913 are 3, 7, 17, 109. Prime factorization of 38913 in exponential form is:

38913 = 3¹ × 7¹ × 17¹ × 109¹

Step-2: 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-3: Factors of 38913

List of positive integer factors of 38913 that divides 38913 without a remainder.

1, 3, 7, 17, 21, 51, 109, 119, 327, 357, 763, 1853, 2289, 5559, 12971

Step-4: Factors of 38928

List of positive integer factors of 38928 that divides 38913 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38913 and 38928. The biggest common factor number is the GCF number.
So the greatest common factor 38913 and 38928 is 3.

Also check out the Least Common Multiple of 38913 and 38928