What is the Greatest Common Factor of 47871 and 47889?

Greatest common factor (GCF) of 47871 and 47889 is 9.

GCF(47871,47889) = 9

We will now calculate the prime factors of 47871 and 47889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47871 and 47889.

How to find the GCF of 47871 and 47889?

We will first find the prime factorization of 47871 and 47889. After we will calculate the factors of 47871 and 47889 and find the biggest common factor number .

Step-1: Prime Factorization of 47871

Prime factors of 47871 are 3, 197. Prime factorization of 47871 in exponential form is:

47871 = 3⁵ × 197¹

Step-2: Prime Factorization of 47889

Prime factors of 47889 are 3, 17, 313. Prime factorization of 47889 in exponential form is:

47889 = 3² × 17¹ × 313¹

Step-3: Factors of 47871

List of positive integer factors of 47871 that divides 47871 without a remainder.

1, 3, 9, 27, 81, 197, 243, 591, 1773, 5319, 15957

Step-4: Factors of 47889

List of positive integer factors of 47889 that divides 47871 without a remainder.

1, 3, 9, 17, 51, 153, 313, 939, 2817, 5321, 15963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47871 and 47889. The biggest common factor number is the GCF number.
So the greatest common factor 47871 and 47889 is 9.

Also check out the Least Common Multiple of 47871 and 47889