What is the Greatest Common Factor of 47889 and 47904?

Greatest common factor (GCF) of 47889 and 47904 is 3.

GCF(47889,47904) = 3

We will now calculate the prime factors of 47889 and 47904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47889 and 47904.

How to find the GCF of 47889 and 47904?

We will first find the prime factorization of 47889 and 47904. After we will calculate the factors of 47889 and 47904 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47904

Prime factors of 47904 are 2, 3, 499. Prime factorization of 47904 in exponential form is:

47904 = 2⁵ × 3¹ × 499¹

Step-3: Factors of 47889

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

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

Step-4: Factors of 47904

List of positive integer factors of 47904 that divides 47889 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 499, 998, 1497, 1996, 2994, 3992, 5988, 7984, 11976, 15968, 23952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47889 and 47904. The biggest common factor number is the GCF number.
So the greatest common factor 47889 and 47904 is 3.

Also check out the Least Common Multiple of 47889 and 47904