What is the Greatest Common Factor of 58359 and 58377?

Greatest common factor (GCF) of 58359 and 58377 is 3.

GCF(58359,58377) = 3

We will now calculate the prime factors of 58359 and 58377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58359 and 58377.

How to find the GCF of 58359 and 58377?

We will first find the prime factorization of 58359 and 58377. After we will calculate the factors of 58359 and 58377 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 58377

Prime factors of 58377 are 3, 11, 29, 61. Prime factorization of 58377 in exponential form is:

58377 = 3¹ × 11¹ × 29¹ × 61¹

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 58377

List of positive integer factors of 58377 that divides 58359 without a remainder.

1, 3, 11, 29, 33, 61, 87, 183, 319, 671, 957, 1769, 2013, 5307, 19459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58359 and 58377. The biggest common factor number is the GCF number.
So the greatest common factor 58359 and 58377 is 3.

Also check out the Least Common Multiple of 58359 and 58377