What is the Greatest Common Factor of 58425 and 58437?

Greatest common factor (GCF) of 58425 and 58437 is 3.

GCF(58425,58437) = 3

We will now calculate the prime factors of 58425 and 58437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58425 and 58437.

How to find the GCF of 58425 and 58437?

We will first find the prime factorization of 58425 and 58437. After we will calculate the factors of 58425 and 58437 and find the biggest common factor number .

Step-1: Prime Factorization of 58425

Prime factors of 58425 are 3, 5, 19, 41. Prime factorization of 58425 in exponential form is:

58425 = 3¹ × 5² × 19¹ × 41¹

Step-2: 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-3: Factors of 58425

List of positive integer factors of 58425 that divides 58425 without a remainder.

1, 3, 5, 15, 19, 25, 41, 57, 75, 95, 123, 205, 285, 475, 615, 779, 1025, 1425, 2337, 3075, 3895, 11685, 19475

Step-4: Factors of 58437

List of positive integer factors of 58437 that divides 58425 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58425 and 58437. The biggest common factor number is the GCF number.
So the greatest common factor 58425 and 58437 is 3.

Also check out the Least Common Multiple of 58425 and 58437