What is the Greatest Common Factor of 58353 and 58367?

Greatest common factor (GCF) of 58353 and 58367 is 1.

GCF(58353,58367) = 1

We will now calculate the prime factors of 58353 and 58367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58353 and 58367.

How to find the GCF of 58353 and 58367?

We will first find the prime factorization of 58353 and 58367. After we will calculate the factors of 58353 and 58367 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 58367

Prime factors of 58367 are 58367. Prime factorization of 58367 in exponential form is:

58367 = 58367¹

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 58367

List of positive integer factors of 58367 that divides 58353 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58353 and 58367. The biggest common factor number is the GCF number.
So the greatest common factor 58353 and 58367 is 1.

Also check out the Least Common Multiple of 58353 and 58367