What is the Greatest Common Factor of 38074 and 38082?

Greatest common factor (GCF) of 38074 and 38082 is 2.

GCF(38074,38082) = 2

We will now calculate the prime factors of 38074 and 38082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38074 and 38082.

How to find the GCF of 38074 and 38082?

We will first find the prime factorization of 38074 and 38082. After we will calculate the factors of 38074 and 38082 and find the biggest common factor number .

Step-1: Prime Factorization of 38074

Prime factors of 38074 are 2, 19037. Prime factorization of 38074 in exponential form is:

38074 = 2¹ × 19037¹

Step-2: 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-3: Factors of 38074

List of positive integer factors of 38074 that divides 38074 without a remainder.

1, 2, 19037

Step-4: Factors of 38082

List of positive integer factors of 38082 that divides 38074 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38074 and 38082. The biggest common factor number is the GCF number.
So the greatest common factor 38074 and 38082 is 2.

Also check out the Least Common Multiple of 38074 and 38082