What is the Greatest Common Factor of 58928 and 58942?

Greatest common factor (GCF) of 58928 and 58942 is 2.

GCF(58928,58942) = 2

We will now calculate the prime factors of 58928 and 58942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58928 and 58942.

How to find the GCF of 58928 and 58942?

We will first find the prime factorization of 58928 and 58942. After we will calculate the factors of 58928 and 58942 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 58942

Prime factors of 58942 are 2, 13, 2267. Prime factorization of 58942 in exponential form is:

58942 = 2¹ × 13¹ × 2267¹

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 58942

List of positive integer factors of 58942 that divides 58928 without a remainder.

1, 2, 13, 26, 2267, 4534, 29471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58928 and 58942. The biggest common factor number is the GCF number.
So the greatest common factor 58928 and 58942 is 2.

Also check out the Least Common Multiple of 58928 and 58942