What is the Greatest Common Factor of 58014 and 58027?

Greatest common factor (GCF) of 58014 and 58027 is 1.

GCF(58014,58027) = 1

We will now calculate the prime factors of 58014 and 58027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58014 and 58027.

How to find the GCF of 58014 and 58027?

We will first find the prime factorization of 58014 and 58027. After we will calculate the factors of 58014 and 58027 and find the biggest common factor number .

Step-1: Prime Factorization of 58014

Prime factors of 58014 are 2, 3, 11, 293. Prime factorization of 58014 in exponential form is:

58014 = 2¹ × 3² × 11¹ × 293¹

Step-2: Prime Factorization of 58027

Prime factors of 58027 are 58027. Prime factorization of 58027 in exponential form is:

58027 = 58027¹

Step-3: Factors of 58014

List of positive integer factors of 58014 that divides 58014 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 293, 586, 879, 1758, 2637, 3223, 5274, 6446, 9669, 19338, 29007

Step-4: Factors of 58027

List of positive integer factors of 58027 that divides 58014 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58014 and 58027. The biggest common factor number is the GCF number.
So the greatest common factor 58014 and 58027 is 1.

Also check out the Least Common Multiple of 58014 and 58027