What is the Greatest Common Factor of 39004 and 39022?

Greatest common factor (GCF) of 39004 and 39022 is 2.

GCF(39004,39022) = 2

We will now calculate the prime factors of 39004 and 39022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39004 and 39022.

How to find the GCF of 39004 and 39022?

We will first find the prime factorization of 39004 and 39022. After we will calculate the factors of 39004 and 39022 and find the biggest common factor number .

Step-1: Prime Factorization of 39004

Prime factors of 39004 are 2, 7, 199. Prime factorization of 39004 in exponential form is:

39004 = 2² × 7² × 199¹

Step-2: Prime Factorization of 39022

Prime factors of 39022 are 2, 109, 179. Prime factorization of 39022 in exponential form is:

39022 = 2¹ × 109¹ × 179¹

Step-3: Factors of 39004

List of positive integer factors of 39004 that divides 39004 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 199, 398, 796, 1393, 2786, 5572, 9751, 19502

Step-4: Factors of 39022

List of positive integer factors of 39022 that divides 39004 without a remainder.

1, 2, 109, 179, 218, 358, 19511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39004 and 39022. The biggest common factor number is the GCF number.
So the greatest common factor 39004 and 39022 is 2.

Also check out the Least Common Multiple of 39004 and 39022