What is the Greatest Common Factor of 38988 and 39007?

Greatest common factor (GCF) of 38988 and 39007 is 19.

GCF(38988,39007) = 19

We will now calculate the prime factors of 38988 and 39007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38988 and 39007.

How to find the GCF of 38988 and 39007?

We will first find the prime factorization of 38988 and 39007. After we will calculate the factors of 38988 and 39007 and find the biggest common factor number .

Step-1: Prime Factorization of 38988

Prime factors of 38988 are 2, 3, 19. Prime factorization of 38988 in exponential form is:

38988 = 2² × 3³ × 19²

Step-2: Prime Factorization of 39007

Prime factors of 39007 are 19, 2053. Prime factorization of 39007 in exponential form is:

39007 = 19¹ × 2053¹

Step-3: Factors of 38988

List of positive integer factors of 38988 that divides 38988 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 108, 114, 171, 228, 342, 361, 513, 684, 722, 1026, 1083, 1444, 2052, 2166, 3249, 4332, 6498, 9747, 12996, 19494

Step-4: Factors of 39007

List of positive integer factors of 39007 that divides 38988 without a remainder.

1, 19, 2053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38988 and 39007. The biggest common factor number is the GCF number.
So the greatest common factor 38988 and 39007 is 19.

Also check out the Least Common Multiple of 38988 and 39007