What is the Greatest Common Factor of 38005 and 38011?

Greatest common factor (GCF) of 38005 and 38011 is 1.

GCF(38005,38011) = 1

We will now calculate the prime factors of 38005 and 38011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38005 and 38011.

How to find the GCF of 38005 and 38011?

We will first find the prime factorization of 38005 and 38011. After we will calculate the factors of 38005 and 38011 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 38011

Prime factors of 38011 are 38011. Prime factorization of 38011 in exponential form is:

38011 = 38011¹

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 38011

List of positive integer factors of 38011 that divides 38005 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38005 and 38011. The biggest common factor number is the GCF number.
So the greatest common factor 38005 and 38011 is 1.

Also check out the Least Common Multiple of 38005 and 38011