What is the Greatest Common Factor of 38089 and 38105?

Greatest common factor (GCF) of 38089 and 38105 is 1.

GCF(38089,38105) = 1

We will now calculate the prime factors of 38089 and 38105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38089 and 38105.

How to find the GCF of 38089 and 38105?

We will first find the prime factorization of 38089 and 38105. After we will calculate the factors of 38089 and 38105 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 38105

Prime factors of 38105 are 5, 7621. Prime factorization of 38105 in exponential form is:

38105 = 5¹ × 7621¹

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 38105

List of positive integer factors of 38105 that divides 38089 without a remainder.

1, 5, 7621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38089 and 38105. The biggest common factor number is the GCF number.
So the greatest common factor 38089 and 38105 is 1.

Also check out the Least Common Multiple of 38089 and 38105