What is the Greatest Common Factor of 58323 and 58335?

Greatest common factor (GCF) of 58323 and 58335 is 3.

GCF(58323,58335) = 3

We will now calculate the prime factors of 58323 and 58335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58323 and 58335.

How to find the GCF of 58323 and 58335?

We will first find the prime factorization of 58323 and 58335. After we will calculate the factors of 58323 and 58335 and find the biggest common factor number .

Step-1: Prime Factorization of 58323

Prime factors of 58323 are 3, 19441. Prime factorization of 58323 in exponential form is:

58323 = 3¹ × 19441¹

Step-2: Prime Factorization of 58335

Prime factors of 58335 are 3, 5, 3889. Prime factorization of 58335 in exponential form is:

58335 = 3¹ × 5¹ × 3889¹

Step-3: Factors of 58323

List of positive integer factors of 58323 that divides 58323 without a remainder.

1, 3, 19441

Step-4: Factors of 58335

List of positive integer factors of 58335 that divides 58323 without a remainder.

1, 3, 5, 15, 3889, 11667, 19445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58323 and 58335. The biggest common factor number is the GCF number.
So the greatest common factor 58323 and 58335 is 3.

Also check out the Least Common Multiple of 58323 and 58335