What is the Greatest Common Factor of 58914 and 58923?

Greatest common factor (GCF) of 58914 and 58923 is 9.

GCF(58914,58923) = 9

We will now calculate the prime factors of 58914 and 58923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58914 and 58923.

How to find the GCF of 58914 and 58923?

We will first find the prime factorization of 58914 and 58923. After we will calculate the factors of 58914 and 58923 and find the biggest common factor number .

Step-1: Prime Factorization of 58914

Prime factors of 58914 are 2, 3, 1091. Prime factorization of 58914 in exponential form is:

58914 = 2¹ × 3³ × 1091¹

Step-2: Prime Factorization of 58923

Prime factors of 58923 are 3, 6547. Prime factorization of 58923 in exponential form is:

58923 = 3² × 6547¹

Step-3: Factors of 58914

List of positive integer factors of 58914 that divides 58914 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1091, 2182, 3273, 6546, 9819, 19638, 29457

Step-4: Factors of 58923

List of positive integer factors of 58923 that divides 58914 without a remainder.

1, 3, 9, 6547, 19641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58914 and 58923. The biggest common factor number is the GCF number.
So the greatest common factor 58914 and 58923 is 9.

Also check out the Least Common Multiple of 58914 and 58923