What is the Greatest Common Factor of 58059 and 58067?

Greatest common factor (GCF) of 58059 and 58067 is 1.

GCF(58059,58067) = 1

We will now calculate the prime factors of 58059 and 58067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58059 and 58067.

How to find the GCF of 58059 and 58067?

We will first find the prime factorization of 58059 and 58067. After we will calculate the factors of 58059 and 58067 and find the biggest common factor number .

Step-1: Prime Factorization of 58059

Prime factors of 58059 are 3, 6451. Prime factorization of 58059 in exponential form is:

58059 = 3² × 6451¹

Step-2: Prime Factorization of 58067

Prime factors of 58067 are 58067. Prime factorization of 58067 in exponential form is:

58067 = 58067¹

Step-3: Factors of 58059

List of positive integer factors of 58059 that divides 58059 without a remainder.

1, 3, 9, 6451, 19353

Step-4: Factors of 58067

List of positive integer factors of 58067 that divides 58059 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58059 and 58067. The biggest common factor number is the GCF number.
So the greatest common factor 58059 and 58067 is 1.

Also check out the Least Common Multiple of 58059 and 58067