What is the Greatest Common Factor of 58928 and 58944?

Greatest common factor (GCF) of 58928 and 58944 is 16.

GCF(58928,58944) = 16

We will now calculate the prime factors of 58928 and 58944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58928 and 58944.

How to find the GCF of 58928 and 58944?

We will first find the prime factorization of 58928 and 58944. After we will calculate the factors of 58928 and 58944 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 58944

Prime factors of 58944 are 2, 3, 307. Prime factorization of 58944 in exponential form is:

58944 = 2⁶ × 3¹ × 307¹

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 58944

List of positive integer factors of 58944 that divides 58928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 307, 614, 921, 1228, 1842, 2456, 3684, 4912, 7368, 9824, 14736, 19648, 29472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58928 and 58944. The biggest common factor number is the GCF number.
So the greatest common factor 58928 and 58944 is 16.

Also check out the Least Common Multiple of 58928 and 58944