What is the Greatest Common Factor of 58023 and 58029?

Greatest common factor (GCF) of 58023 and 58029 is 3.

GCF(58023,58029) = 3

We will now calculate the prime factors of 58023 and 58029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58023 and 58029.

How to find the GCF of 58023 and 58029?

We will first find the prime factorization of 58023 and 58029. After we will calculate the factors of 58023 and 58029 and find the biggest common factor number .

Step-1: Prime Factorization of 58023

Prime factors of 58023 are 3, 7, 307. Prime factorization of 58023 in exponential form is:

58023 = 3³ × 7¹ × 307¹

Step-2: Prime Factorization of 58029

Prime factors of 58029 are 3, 23, 29. Prime factorization of 58029 in exponential form is:

58029 = 3¹ × 23¹ × 29²

Step-3: Factors of 58023

List of positive integer factors of 58023 that divides 58023 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 307, 921, 2149, 2763, 6447, 8289, 19341

Step-4: Factors of 58029

List of positive integer factors of 58029 that divides 58023 without a remainder.

1, 3, 23, 29, 69, 87, 667, 841, 2001, 2523, 19343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58023 and 58029. The biggest common factor number is the GCF number.
So the greatest common factor 58023 and 58029 is 3.

Also check out the Least Common Multiple of 58023 and 58029