What is the Greatest Common Factor of 47898 and 47916?

Greatest common factor (GCF) of 47898 and 47916 is 18.

GCF(47898,47916) = 18

We will now calculate the prime factors of 47898 and 47916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47898 and 47916.

How to find the GCF of 47898 and 47916?

We will first find the prime factorization of 47898 and 47916. After we will calculate the factors of 47898 and 47916 and find the biggest common factor number .

Step-1: Prime Factorization of 47898

Prime factors of 47898 are 2, 3, 887. Prime factorization of 47898 in exponential form is:

47898 = 2¹ × 3³ × 887¹

Step-2: Prime Factorization of 47916

Prime factors of 47916 are 2, 3, 11. Prime factorization of 47916 in exponential form is:

47916 = 2² × 3² × 11³

Step-3: Factors of 47898

List of positive integer factors of 47898 that divides 47898 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 887, 1774, 2661, 5322, 7983, 15966, 23949

Step-4: Factors of 47916

List of positive integer factors of 47916 that divides 47898 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 121, 132, 198, 242, 363, 396, 484, 726, 1089, 1331, 1452, 2178, 2662, 3993, 4356, 5324, 7986, 11979, 15972, 23958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47898 and 47916. The biggest common factor number is the GCF number.
So the greatest common factor 47898 and 47916 is 18.

Also check out the Least Common Multiple of 47898 and 47916