What is the Greatest Common Factor of 58405 and 58425?

Greatest common factor (GCF) of 58405 and 58425 is 5.

GCF(58405,58425) = 5

We will now calculate the prime factors of 58405 and 58425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58405 and 58425.

How to find the GCF of 58405 and 58425?

We will first find the prime factorization of 58405 and 58425. After we will calculate the factors of 58405 and 58425 and find the biggest common factor number .

Step-1: Prime Factorization of 58405

Prime factors of 58405 are 5, 11681. Prime factorization of 58405 in exponential form is:

58405 = 5¹ × 11681¹

Step-2: 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-3: Factors of 58405

List of positive integer factors of 58405 that divides 58405 without a remainder.

1, 5, 11681

Step-4: Factors of 58425

List of positive integer factors of 58425 that divides 58405 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58405 and 58425. The biggest common factor number is the GCF number.
So the greatest common factor 58405 and 58425 is 5.

Also check out the Least Common Multiple of 58405 and 58425