What is the Greatest Common Factor of 58353 and 58371?

Greatest common factor (GCF) of 58353 and 58371 is 3.

GCF(58353,58371) = 3

We will now calculate the prime factors of 58353 and 58371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58353 and 58371.

How to find the GCF of 58353 and 58371?

We will first find the prime factorization of 58353 and 58371. After we will calculate the factors of 58353 and 58371 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 58371

Prime factors of 58371 are 3, 19457. Prime factorization of 58371 in exponential form is:

58371 = 3¹ × 19457¹

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 58371

List of positive integer factors of 58371 that divides 58353 without a remainder.

1, 3, 19457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58353 and 58371. The biggest common factor number is the GCF number.
So the greatest common factor 58353 and 58371 is 3.

Also check out the Least Common Multiple of 58353 and 58371