What is the Greatest Common Factor of 58014 and 58023?

Greatest common factor (GCF) of 58014 and 58023 is 9.

GCF(58014,58023) = 9

We will now calculate the prime factors of 58014 and 58023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58014 and 58023.

How to find the GCF of 58014 and 58023?

We will first find the prime factorization of 58014 and 58023. After we will calculate the factors of 58014 and 58023 and find the biggest common factor number .

Step-1: Prime Factorization of 58014

Prime factors of 58014 are 2, 3, 11, 293. Prime factorization of 58014 in exponential form is:

58014 = 2¹ × 3² × 11¹ × 293¹

Step-2: 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-3: Factors of 58014

List of positive integer factors of 58014 that divides 58014 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 293, 586, 879, 1758, 2637, 3223, 5274, 6446, 9669, 19338, 29007

Step-4: Factors of 58023

List of positive integer factors of 58023 that divides 58014 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58014 and 58023. The biggest common factor number is the GCF number.
So the greatest common factor 58014 and 58023 is 9.

Also check out the Least Common Multiple of 58014 and 58023