What is the Greatest Common Factor of 38005 and 38018?

Greatest common factor (GCF) of 38005 and 38018 is 1.

GCF(38005,38018) = 1

We will now calculate the prime factors of 38005 and 38018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38005 and 38018.

How to find the GCF of 38005 and 38018?

We will first find the prime factorization of 38005 and 38018. After we will calculate the factors of 38005 and 38018 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 38018

Prime factors of 38018 are 2, 19009. Prime factorization of 38018 in exponential form is:

38018 = 2¹ × 19009¹

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 38018

List of positive integer factors of 38018 that divides 38005 without a remainder.

1, 2, 19009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38005 and 38018. The biggest common factor number is the GCF number.
So the greatest common factor 38005 and 38018 is 1.

Also check out the Least Common Multiple of 38005 and 38018