What is the Greatest Common Factor of 58329 and 58338?

Greatest common factor (GCF) of 58329 and 58338 is 9.

GCF(58329,58338) = 9

We will now calculate the prime factors of 58329 and 58338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58329 and 58338.

How to find the GCF of 58329 and 58338?

We will first find the prime factorization of 58329 and 58338. After we will calculate the factors of 58329 and 58338 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 58338

Prime factors of 58338 are 2, 3, 7, 463. Prime factorization of 58338 in exponential form is:

58338 = 2¹ × 3² × 7¹ × 463¹

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 58338

List of positive integer factors of 58338 that divides 58329 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 463, 926, 1389, 2778, 3241, 4167, 6482, 8334, 9723, 19446, 29169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58329 and 58338. The biggest common factor number is the GCF number.
So the greatest common factor 58329 and 58338 is 9.

Also check out the Least Common Multiple of 58329 and 58338