What is the Greatest Common Factor of 58928 and 58938?

Greatest common factor (GCF) of 58928 and 58938 is 2.

GCF(58928,58938) = 2

We will now calculate the prime factors of 58928 and 58938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58928 and 58938.

How to find the GCF of 58928 and 58938?

We will first find the prime factorization of 58928 and 58938. After we will calculate the factors of 58928 and 58938 and find the biggest common factor number .

Step-1: Prime Factorization of 58928

Prime factors of 58928 are 2, 29, 127. Prime factorization of 58928 in exponential form is:

58928 = 2⁴ × 29¹ × 127¹

Step-2: Prime Factorization of 58938

Prime factors of 58938 are 2, 3, 11, 19, 47. Prime factorization of 58938 in exponential form is:

58938 = 2¹ × 3¹ × 11¹ × 19¹ × 47¹

Step-3: Factors of 58928

List of positive integer factors of 58928 that divides 58928 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 127, 232, 254, 464, 508, 1016, 2032, 3683, 7366, 14732, 29464

Step-4: Factors of 58938

List of positive integer factors of 58938 that divides 58928 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 47, 57, 66, 94, 114, 141, 209, 282, 418, 517, 627, 893, 1034, 1254, 1551, 1786, 2679, 3102, 5358, 9823, 19646, 29469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58928 and 58938. The biggest common factor number is the GCF number.
So the greatest common factor 58928 and 58938 is 2.

Also check out the Least Common Multiple of 58928 and 58938