What is the Greatest Common Factor of 38986 and 39004?

Greatest common factor (GCF) of 38986 and 39004 is 2.

GCF(38986,39004) = 2

We will now calculate the prime factors of 38986 and 39004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38986 and 39004.

How to find the GCF of 38986 and 39004?

We will first find the prime factorization of 38986 and 39004. After we will calculate the factors of 38986 and 39004 and find the biggest common factor number .

Step-1: Prime Factorization of 38986

Prime factors of 38986 are 2, 101, 193. Prime factorization of 38986 in exponential form is:

38986 = 2¹ × 101¹ × 193¹

Step-2: 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-3: Factors of 38986

List of positive integer factors of 38986 that divides 38986 without a remainder.

1, 2, 101, 193, 202, 386, 19493

Step-4: Factors of 39004

List of positive integer factors of 39004 that divides 38986 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38986 and 39004. The biggest common factor number is the GCF number.
So the greatest common factor 38986 and 39004 is 2.

Also check out the Least Common Multiple of 38986 and 39004