What is the Greatest Common Factor of 38082 and 38086?

Greatest common factor (GCF) of 38082 and 38086 is 2.

GCF(38082,38086) = 2

We will now calculate the prime factors of 38082 and 38086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38082 and 38086.

How to find the GCF of 38082 and 38086?

We will first find the prime factorization of 38082 and 38086. After we will calculate the factors of 38082 and 38086 and find the biggest common factor number .

Step-1: Prime Factorization of 38082

Prime factors of 38082 are 2, 3, 11, 577. Prime factorization of 38082 in exponential form is:

38082 = 2¹ × 3¹ × 11¹ × 577¹

Step-2: Prime Factorization of 38086

Prime factors of 38086 are 2, 137, 139. Prime factorization of 38086 in exponential form is:

38086 = 2¹ × 137¹ × 139¹

Step-3: Factors of 38082

List of positive integer factors of 38082 that divides 38082 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 577, 1154, 1731, 3462, 6347, 12694, 19041

Step-4: Factors of 38086

List of positive integer factors of 38086 that divides 38082 without a remainder.

1, 2, 137, 139, 274, 278, 19043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38082 and 38086. The biggest common factor number is the GCF number.
So the greatest common factor 38082 and 38086 is 2.

Also check out the Least Common Multiple of 38082 and 38086