What is the Greatest Common Factor of 58335 and 58340?

Greatest common factor (GCF) of 58335 and 58340 is 5.

GCF(58335,58340) = 5

We will now calculate the prime factors of 58335 and 58340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58335 and 58340.

How to find the GCF of 58335 and 58340?

We will first find the prime factorization of 58335 and 58340. After we will calculate the factors of 58335 and 58340 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58340

Prime factors of 58340 are 2, 5, 2917. Prime factorization of 58340 in exponential form is:

58340 = 2² × 5¹ × 2917¹

Step-3: Factors of 58335

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

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

Step-4: Factors of 58340

List of positive integer factors of 58340 that divides 58335 without a remainder.

1, 2, 4, 5, 10, 20, 2917, 5834, 11668, 14585, 29170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58335 and 58340. The biggest common factor number is the GCF number.
So the greatest common factor 58335 and 58340 is 5.

Also check out the Least Common Multiple of 58335 and 58340