What is the Greatest Common Factor of 38005 and 38009?

Greatest common factor (GCF) of 38005 and 38009 is 1.

GCF(38005,38009) = 1

We will now calculate the prime factors of 38005 and 38009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38005 and 38009.

How to find the GCF of 38005 and 38009?

We will first find the prime factorization of 38005 and 38009. After we will calculate the factors of 38005 and 38009 and find the biggest common factor number .

Step-1: Prime Factorization of 38005

Prime factors of 38005 are 5, 11, 691. Prime factorization of 38005 in exponential form is:

38005 = 5¹ × 11¹ × 691¹

Step-2: Prime Factorization of 38009

Prime factors of 38009 are 191, 199. Prime factorization of 38009 in exponential form is:

38009 = 191¹ × 199¹

Step-3: Factors of 38005

List of positive integer factors of 38005 that divides 38005 without a remainder.

1, 5, 11, 55, 691, 3455, 7601

Step-4: Factors of 38009

List of positive integer factors of 38009 that divides 38005 without a remainder.

1, 191, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38005 and 38009. The biggest common factor number is the GCF number.
So the greatest common factor 38005 and 38009 is 1.

Also check out the Least Common Multiple of 38005 and 38009