What is the Greatest Common Factor of 38105 and 38123?

Greatest common factor (GCF) of 38105 and 38123 is 1.

GCF(38105,38123) = 1

We will now calculate the prime factors of 38105 and 38123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38105 and 38123.

How to find the GCF of 38105 and 38123?

We will first find the prime factorization of 38105 and 38123. After we will calculate the factors of 38105 and 38123 and find the biggest common factor number .

Step-1: Prime Factorization of 38105

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

38105 = 5¹ × 7621¹

Step-2: Prime Factorization of 38123

Prime factors of 38123 are 67, 569. Prime factorization of 38123 in exponential form is:

38123 = 67¹ × 569¹

Step-3: Factors of 38105

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

1, 5, 7621

Step-4: Factors of 38123

List of positive integer factors of 38123 that divides 38105 without a remainder.

1, 67, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38105 and 38123. The biggest common factor number is the GCF number.
So the greatest common factor 38105 and 38123 is 1.

Also check out the Least Common Multiple of 38105 and 38123