What is the Greatest Common Factor of 38871 and 38889?

Greatest common factor (GCF) of 38871 and 38889 is 9.

GCF(38871,38889) = 9

We will now calculate the prime factors of 38871 and 38889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38871 and 38889.

How to find the GCF of 38871 and 38889?

We will first find the prime factorization of 38871 and 38889. After we will calculate the factors of 38871 and 38889 and find the biggest common factor number .

Step-1: Prime Factorization of 38871

Prime factors of 38871 are 3, 7, 617. Prime factorization of 38871 in exponential form is:

38871 = 3² × 7¹ × 617¹

Step-2: Prime Factorization of 38889

Prime factors of 38889 are 3, 29, 149. Prime factorization of 38889 in exponential form is:

38889 = 3² × 29¹ × 149¹

Step-3: Factors of 38871

List of positive integer factors of 38871 that divides 38871 without a remainder.

1, 3, 7, 9, 21, 63, 617, 1851, 4319, 5553, 12957

Step-4: Factors of 38889

List of positive integer factors of 38889 that divides 38871 without a remainder.

1, 3, 9, 29, 87, 149, 261, 447, 1341, 4321, 12963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38871 and 38889. The biggest common factor number is the GCF number.
So the greatest common factor 38871 and 38889 is 9.

Also check out the Least Common Multiple of 38871 and 38889