What is the Greatest Common Factor of 58353 and 58361?

Greatest common factor (GCF) of 58353 and 58361 is 1.

GCF(58353,58361) = 1

We will now calculate the prime factors of 58353 and 58361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58353 and 58361.

How to find the GCF of 58353 and 58361?

We will first find the prime factorization of 58353 and 58361. After we will calculate the factors of 58353 and 58361 and find the biggest common factor number .

Step-1: Prime Factorization of 58353

Prime factors of 58353 are 3, 53, 367. Prime factorization of 58353 in exponential form is:

58353 = 3¹ × 53¹ × 367¹

Step-2: Prime Factorization of 58361

Prime factors of 58361 are 17, 3433. Prime factorization of 58361 in exponential form is:

58361 = 17¹ × 3433¹

Step-3: Factors of 58353

List of positive integer factors of 58353 that divides 58353 without a remainder.

1, 3, 53, 159, 367, 1101, 19451

Step-4: Factors of 58361

List of positive integer factors of 58361 that divides 58353 without a remainder.

1, 17, 3433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58353 and 58361. The biggest common factor number is the GCF number.
So the greatest common factor 58353 and 58361 is 1.

Also check out the Least Common Multiple of 58353 and 58361