What is the Greatest Common Factor of 58359 and 58379?

Greatest common factor (GCF) of 58359 and 58379 is 1.

GCF(58359,58379) = 1

We will now calculate the prime factors of 58359 and 58379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58359 and 58379.

How to find the GCF of 58359 and 58379?

We will first find the prime factorization of 58359 and 58379. After we will calculate the factors of 58359 and 58379 and find the biggest common factor number .

Step-1: Prime Factorization of 58359

Prime factors of 58359 are 3, 7, 397. Prime factorization of 58359 in exponential form is:

58359 = 3¹ × 7² × 397¹

Step-2: Prime Factorization of 58379

Prime factors of 58379 are 58379. Prime factorization of 58379 in exponential form is:

58379 = 58379¹

Step-3: Factors of 58359

List of positive integer factors of 58359 that divides 58359 without a remainder.

1, 3, 7, 21, 49, 147, 397, 1191, 2779, 8337, 19453

Step-4: Factors of 58379

List of positive integer factors of 58379 that divides 58359 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58359 and 58379. The biggest common factor number is the GCF number.
So the greatest common factor 58359 and 58379 is 1.

Also check out the Least Common Multiple of 58359 and 58379