What is the Greatest Common Factor of 58074 and 58091?

Greatest common factor (GCF) of 58074 and 58091 is 1.

GCF(58074,58091) = 1

We will now calculate the prime factors of 58074 and 58091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58074 and 58091.

How to find the GCF of 58074 and 58091?

We will first find the prime factorization of 58074 and 58091. After we will calculate the factors of 58074 and 58091 and find the biggest common factor number .

Step-1: Prime Factorization of 58074

Prime factors of 58074 are 2, 3, 9679. Prime factorization of 58074 in exponential form is:

58074 = 2¹ × 3¹ × 9679¹

Step-2: Prime Factorization of 58091

Prime factors of 58091 are 11, 5281. Prime factorization of 58091 in exponential form is:

58091 = 11¹ × 5281¹

Step-3: Factors of 58074

List of positive integer factors of 58074 that divides 58074 without a remainder.

1, 2, 3, 6, 9679, 19358, 29037

Step-4: Factors of 58091

List of positive integer factors of 58091 that divides 58074 without a remainder.

1, 11, 5281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58074 and 58091. The biggest common factor number is the GCF number.
So the greatest common factor 58074 and 58091 is 1.

Also check out the Least Common Multiple of 58074 and 58091