What is the Greatest Common Factor of 58077 and 58091?

Greatest common factor (GCF) of 58077 and 58091 is 1.

GCF(58077,58091) = 1

We will now calculate the prime factors of 58077 and 58091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58077 and 58091.

How to find the GCF of 58077 and 58091?

We will first find the prime factorization of 58077 and 58091. After we will calculate the factors of 58077 and 58091 and find the biggest common factor number .

Step-1: Prime Factorization of 58077

Prime factors of 58077 are 3, 239. Prime factorization of 58077 in exponential form is:

58077 = 3⁵ × 239¹

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 58077

List of positive integer factors of 58077 that divides 58077 without a remainder.

1, 3, 9, 27, 81, 239, 243, 717, 2151, 6453, 19359

Step-4: Factors of 58091

List of positive integer factors of 58091 that divides 58077 without a remainder.

1, 11, 5281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58077 and 58091. The biggest common factor number is the GCF number.
So the greatest common factor 58077 and 58091 is 1.

Also check out the Least Common Multiple of 58077 and 58091