What is the Greatest Common Factor of 58921 and 58941?

Greatest common factor (GCF) of 58921 and 58941 is 1.

GCF(58921,58941) = 1

We will now calculate the prime factors of 58921 and 58941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58921 and 58941.

How to find the GCF of 58921 and 58941?

We will first find the prime factorization of 58921 and 58941. After we will calculate the factors of 58921 and 58941 and find the biggest common factor number .

Step-1: Prime Factorization of 58921

Prime factors of 58921 are 58921. Prime factorization of 58921 in exponential form is:

58921 = 58921¹

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 58921

List of positive integer factors of 58921 that divides 58921 without a remainder.

Step-4: Factors of 58941

List of positive integer factors of 58941 that divides 58921 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 58921 and 58941. The biggest common factor number is the GCF number.
So the greatest common factor 58921 and 58941 is 1.

Also check out the Least Common Multiple of 58921 and 58941