What is the Greatest Common Factor of 58425 and 58444?

Greatest common factor (GCF) of 58425 and 58444 is 19.

GCF(58425,58444) = 19

We will now calculate the prime factors of 58425 and 58444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58425 and 58444.

How to find the GCF of 58425 and 58444?

We will first find the prime factorization of 58425 and 58444. After we will calculate the factors of 58425 and 58444 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 58444

Prime factors of 58444 are 2, 19, 769. Prime factorization of 58444 in exponential form is:

58444 = 2² × 19¹ × 769¹

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 58444

List of positive integer factors of 58444 that divides 58425 without a remainder.

1, 2, 4, 19, 38, 76, 769, 1538, 3076, 14611, 29222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58425 and 58444. The biggest common factor number is the GCF number.
So the greatest common factor 58425 and 58444 is 19.

Also check out the Least Common Multiple of 58425 and 58444