What is the Greatest Common Factor of 47877 and 47889?

Greatest common factor (GCF) of 47877 and 47889 is 3.

GCF(47877,47889) = 3

We will now calculate the prime factors of 47877 and 47889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47877 and 47889.

How to find the GCF of 47877 and 47889?

We will first find the prime factorization of 47877 and 47889. After we will calculate the factors of 47877 and 47889 and find the biggest common factor number .

Step-1: Prime Factorization of 47877

Prime factors of 47877 are 3, 15959. Prime factorization of 47877 in exponential form is:

47877 = 3¹ × 15959¹

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 47877

List of positive integer factors of 47877 that divides 47877 without a remainder.

1, 3, 15959

Step-4: Factors of 47889

List of positive integer factors of 47889 that divides 47877 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 47877 and 47889. The biggest common factor number is the GCF number.
So the greatest common factor 47877 and 47889 is 3.

Also check out the Least Common Multiple of 47877 and 47889