What is the Greatest Common Factor of 38425 and 38443?

Greatest common factor (GCF) of 38425 and 38443 is 1.

GCF(38425,38443) = 1

We will now calculate the prime factors of 38425 and 38443, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38425 and 38443.

How to find the GCF of 38425 and 38443?

We will first find the prime factorization of 38425 and 38443. After we will calculate the factors of 38425 and 38443 and find the biggest common factor number .

Step-1: Prime Factorization of 38425

Prime factors of 38425 are 5, 29, 53. Prime factorization of 38425 in exponential form is:

38425 = 5² × 29¹ × 53¹

Step-2: Prime Factorization of 38443

Prime factors of 38443 are 37, 1039. Prime factorization of 38443 in exponential form is:

38443 = 37¹ × 1039¹

Step-3: Factors of 38425

List of positive integer factors of 38425 that divides 38425 without a remainder.

1, 5, 25, 29, 53, 145, 265, 725, 1325, 1537, 7685

Step-4: Factors of 38443

List of positive integer factors of 38443 that divides 38425 without a remainder.

1, 37, 1039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38425 and 38443. The biggest common factor number is the GCF number.
So the greatest common factor 38425 and 38443 is 1.

Also check out the Least Common Multiple of 38425 and 38443