What is the Greatest Common Factor of 38082 and 38088?

Greatest common factor (GCF) of 38082 and 38088 is 6.

GCF(38082,38088) = 6

We will now calculate the prime factors of 38082 and 38088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38082 and 38088.

How to find the GCF of 38082 and 38088?

We will first find the prime factorization of 38082 and 38088. After we will calculate the factors of 38082 and 38088 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 38088

Prime factors of 38088 are 2, 3, 23. Prime factorization of 38088 in exponential form is:

38088 = 2³ × 3² × 23²

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 38088

List of positive integer factors of 38088 that divides 38082 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 529, 552, 828, 1058, 1587, 1656, 2116, 3174, 4232, 4761, 6348, 9522, 12696, 19044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38082 and 38088. The biggest common factor number is the GCF number.
So the greatest common factor 38082 and 38088 is 6.

Also check out the Least Common Multiple of 38082 and 38088