What is the Greatest Common Factor of 58414 and 58425?

Greatest common factor (GCF) of 58414 and 58425 is 1.

GCF(58414,58425) = 1

We will now calculate the prime factors of 58414 and 58425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58414 and 58425.

How to find the GCF of 58414 and 58425?

We will first find the prime factorization of 58414 and 58425. After we will calculate the factors of 58414 and 58425 and find the biggest common factor number .

Step-1: Prime Factorization of 58414

Prime factors of 58414 are 2, 29207. Prime factorization of 58414 in exponential form is:

58414 = 2¹ × 29207¹

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 58414

List of positive integer factors of 58414 that divides 58414 without a remainder.

1, 2, 29207

Step-4: Factors of 58425

List of positive integer factors of 58425 that divides 58414 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 58414 and 58425. The biggest common factor number is the GCF number.
So the greatest common factor 58414 and 58425 is 1.

Also check out the Least Common Multiple of 58414 and 58425