What is the Greatest Common Factor of 58329 and 58334?

Greatest common factor (GCF) of 58329 and 58334 is 1.

GCF(58329,58334) = 1

We will now calculate the prime factors of 58329 and 58334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58329 and 58334.

How to find the GCF of 58329 and 58334?

We will first find the prime factorization of 58329 and 58334. After we will calculate the factors of 58329 and 58334 and find the biggest common factor number .

Step-1: Prime Factorization of 58329

Prime factors of 58329 are 3, 6481. Prime factorization of 58329 in exponential form is:

58329 = 3² × 6481¹

Step-2: Prime Factorization of 58334

Prime factors of 58334 are 2, 29167. Prime factorization of 58334 in exponential form is:

58334 = 2¹ × 29167¹

Step-3: Factors of 58329

List of positive integer factors of 58329 that divides 58329 without a remainder.

1, 3, 9, 6481, 19443

Step-4: Factors of 58334

List of positive integer factors of 58334 that divides 58329 without a remainder.

1, 2, 29167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58329 and 58334. The biggest common factor number is the GCF number.
So the greatest common factor 58329 and 58334 is 1.

Also check out the Least Common Multiple of 58329 and 58334