What is the Greatest Common Factor of 38988 and 38997?

Greatest common factor (GCF) of 38988 and 38997 is 9.

GCF(38988,38997) = 9

We will now calculate the prime factors of 38988 and 38997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38988 and 38997.

How to find the GCF of 38988 and 38997?

We will first find the prime factorization of 38988 and 38997. After we will calculate the factors of 38988 and 38997 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 38997

Prime factors of 38997 are 3, 7, 619. Prime factorization of 38997 in exponential form is:

38997 = 3² × 7¹ × 619¹

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 38997

List of positive integer factors of 38997 that divides 38988 without a remainder.

1, 3, 7, 9, 21, 63, 619, 1857, 4333, 5571, 12999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38988 and 38997. The biggest common factor number is the GCF number.
So the greatest common factor 38988 and 38997 is 9.

Also check out the Least Common Multiple of 38988 and 38997