What is the Greatest Common Factor of 58928 and 58943?

Greatest common factor (GCF) of 58928 and 58943 is 1.

GCF(58928,58943) = 1

We will now calculate the prime factors of 58928 and 58943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58928 and 58943.

How to find the GCF of 58928 and 58943?

We will first find the prime factorization of 58928 and 58943. After we will calculate the factors of 58928 and 58943 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 58943

Prime factors of 58943 are 58943. Prime factorization of 58943 in exponential form is:

58943 = 58943¹

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 58943

List of positive integer factors of 58943 that divides 58928 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58928 and 58943. The biggest common factor number is the GCF number.
So the greatest common factor 58928 and 58943 is 1.

Also check out the Least Common Multiple of 58928 and 58943