What is the Greatest Common Factor of 58933 and 58941?

Greatest common factor (GCF) of 58933 and 58941 is 1.

GCF(58933,58941) = 1

We will now calculate the prime factors of 58933 and 58941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58933 and 58941.

How to find the GCF of 58933 and 58941?

We will first find the prime factorization of 58933 and 58941. After we will calculate the factors of 58933 and 58941 and find the biggest common factor number .

Step-1: Prime Factorization of 58933

Prime factors of 58933 are 7, 8419. Prime factorization of 58933 in exponential form is:

58933 = 7¹ × 8419¹

Step-2: Prime Factorization of 58941

Prime factors of 58941 are 3, 37, 59. Prime factorization of 58941 in exponential form is:

58941 = 3³ × 37¹ × 59¹

Step-3: Factors of 58933

List of positive integer factors of 58933 that divides 58933 without a remainder.

1, 7, 8419

Step-4: Factors of 58941

List of positive integer factors of 58941 that divides 58933 without a remainder.

1, 3, 9, 27, 37, 59, 111, 177, 333, 531, 999, 1593, 2183, 6549, 19647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58933 and 58941. The biggest common factor number is the GCF number.
So the greatest common factor 58933 and 58941 is 1.

Also check out the Least Common Multiple of 58933 and 58941