What is the Greatest Common Factor of 38074 and 38084?

Greatest common factor (GCF) of 38074 and 38084 is 2.

GCF(38074,38084) = 2

We will now calculate the prime factors of 38074 and 38084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38074 and 38084.

How to find the GCF of 38074 and 38084?

We will first find the prime factorization of 38074 and 38084. After we will calculate the factors of 38074 and 38084 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 38084

Prime factors of 38084 are 2, 9521. Prime factorization of 38084 in exponential form is:

38084 = 2² × 9521¹

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 38084

List of positive integer factors of 38084 that divides 38074 without a remainder.

1, 2, 4, 9521, 19042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38074 and 38084. The biggest common factor number is the GCF number.
So the greatest common factor 38074 and 38084 is 2.

Also check out the Least Common Multiple of 38074 and 38084