What is the Greatest Common Factor of 38089 and 38095?

Greatest common factor (GCF) of 38089 and 38095 is 1.

GCF(38089,38095) = 1

We will now calculate the prime factors of 38089 and 38095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38089 and 38095.

How to find the GCF of 38089 and 38095?

We will first find the prime factorization of 38089 and 38095. After we will calculate the factors of 38089 and 38095 and find the biggest common factor number .

Step-1: Prime Factorization of 38089

Prime factors of 38089 are 41, 929. Prime factorization of 38089 in exponential form is:

38089 = 41¹ × 929¹

Step-2: Prime Factorization of 38095

Prime factors of 38095 are 5, 19, 401. Prime factorization of 38095 in exponential form is:

38095 = 5¹ × 19¹ × 401¹

Step-3: Factors of 38089

List of positive integer factors of 38089 that divides 38089 without a remainder.

1, 41, 929

Step-4: Factors of 38095

List of positive integer factors of 38095 that divides 38089 without a remainder.

1, 5, 19, 95, 401, 2005, 7619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38089 and 38095. The biggest common factor number is the GCF number.
So the greatest common factor 38089 and 38095 is 1.

Also check out the Least Common Multiple of 38089 and 38095