What is the Greatest Common Factor of 58936 and 58941?

Greatest common factor (GCF) of 58936 and 58941 is 1.

GCF(58936,58941) = 1

We will now calculate the prime factors of 58936 and 58941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58936 and 58941.

How to find the GCF of 58936 and 58941?

We will first find the prime factorization of 58936 and 58941. After we will calculate the factors of 58936 and 58941 and find the biggest common factor number .

Step-1: Prime Factorization of 58936

Prime factors of 58936 are 2, 53, 139. Prime factorization of 58936 in exponential form is:

58936 = 2³ × 53¹ × 139¹

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 58936

List of positive integer factors of 58936 that divides 58936 without a remainder.

1, 2, 4, 8, 53, 106, 139, 212, 278, 424, 556, 1112, 7367, 14734, 29468

Step-4: Factors of 58941

List of positive integer factors of 58941 that divides 58936 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 58936 and 58941. The biggest common factor number is the GCF number.
So the greatest common factor 58936 and 58941 is 1.

Also check out the Least Common Multiple of 58936 and 58941