What is the Greatest Common Factor of 58437 and 58449?

Greatest common factor (GCF) of 58437 and 58449 is 3.

GCF(58437,58449) = 3

We will now calculate the prime factors of 58437 and 58449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58437 and 58449.

How to find the GCF of 58437 and 58449?

We will first find the prime factorization of 58437 and 58449. After we will calculate the factors of 58437 and 58449 and find the biggest common factor number .

Step-1: Prime Factorization of 58437

Prime factors of 58437 are 3, 43, 151. Prime factorization of 58437 in exponential form is:

58437 = 3² × 43¹ × 151¹

Step-2: Prime Factorization of 58449

Prime factors of 58449 are 3, 19483. Prime factorization of 58449 in exponential form is:

58449 = 3¹ × 19483¹

Step-3: Factors of 58437

List of positive integer factors of 58437 that divides 58437 without a remainder.

1, 3, 9, 43, 129, 151, 387, 453, 1359, 6493, 19479

Step-4: Factors of 58449

List of positive integer factors of 58449 that divides 58437 without a remainder.

1, 3, 19483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58437 and 58449. The biggest common factor number is the GCF number.
So the greatest common factor 58437 and 58449 is 3.

Also check out the Least Common Multiple of 58437 and 58449