What is the Greatest Common Factor of 58355 and 58365?

Greatest common factor (GCF) of 58355 and 58365 is 5.

GCF(58355,58365) = 5

We will now calculate the prime factors of 58355 and 58365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58355 and 58365.

How to find the GCF of 58355 and 58365?

We will first find the prime factorization of 58355 and 58365. After we will calculate the factors of 58355 and 58365 and find the biggest common factor number .

Step-1: Prime Factorization of 58355

Prime factors of 58355 are 5, 11, 1061. Prime factorization of 58355 in exponential form is:

58355 = 5¹ × 11¹ × 1061¹

Step-2: Prime Factorization of 58365

Prime factors of 58365 are 3, 5, 1297. Prime factorization of 58365 in exponential form is:

58365 = 3² × 5¹ × 1297¹

Step-3: Factors of 58355

List of positive integer factors of 58355 that divides 58355 without a remainder.

1, 5, 11, 55, 1061, 5305, 11671

Step-4: Factors of 58365

List of positive integer factors of 58365 that divides 58355 without a remainder.

1, 3, 5, 9, 15, 45, 1297, 3891, 6485, 11673, 19455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58355 and 58365. The biggest common factor number is the GCF number.
So the greatest common factor 58355 and 58365 is 5.

Also check out the Least Common Multiple of 58355 and 58365